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Abstract simplicial complex describing a graph's cliques
Clique complexes, independence complexes, flag complexes, Whitney complexes and conformal hypergraphs are closely related mathematical objects in graph
Clique_complex
Adjacent subset of an undirected graph
involve cliques in graphs. Among them, The clique complex of a graph G is an abstract simplicial complex X(G) with a simplex for every clique in G A simplex
Clique_(graph_theory)
Topological space formed from distances
for every clique in the unit disk graph, so it is the clique complex or flag complex of the unit disk graph. More generally, the clique complex of any graph
Vietoris–Rips_complex
Mathematical object
is the clique complex of the complement graph of G). Clique complexes are the prototypical example of flag complexes. A flag complex is a complex K with
Abstract_simplicial_complex
Direct sum of uniform matroids
A clique complex is a family of sets of vertices of a graph G {\displaystyle G} that induce complete subgraphs of G {\displaystyle G} . A clique complex
Partition_matroid
in a graph is a clique in its complement graph, and vice versa. Therefore, the independence complex of a graph equals the clique complex of its complement
Independence_complex
Branch of the mathematical field of graph theory
simplicial complexes associated with graphs include the Whitney complex or clique complex, with a set per clique of the graph, and the matching complex, with
Topological_graph_theory
Graph representing connectivity between cliques of another graph
for each clique (a set of mutually adjacent vertices) in G. Two nodes of κ(G) are linked by an edge whenever the corresponding two cliques differ in
Simplex_graph
Complex recording the pattern of intersections between a topological family's sets
ISSN 0097-3165. Nerve theorem at the nLab Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Nerve_complex
which the Vietoris–Rips filtration changes. The Vietoris–Rips complex is a clique complex, meaning it is entirely determined by its 1-skeleton. Therefore
Vietoris–Rips_filtration
2012 single by Kanye West, Jay-Z and Big Sean
"Clique" is a song by American rappers Kanye West, Jay-Z, and Big Sean from West's record label GOOD Music's debut compilation album, Cruel Summer (2012)
Clique_(song)
20th-century Chinese army
Qing dynasty, and, by dividing into warlord factions known as the Beiyang clique (Chinese: 北洋軍閥; pinyin: Běiyáng Jūnfá), ushered in a period of regional
Beiyang_Army
Generalized sphere of dimension n (mathematics)
difgeo.2017.10.014. S2CID 119297359. Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
N-sphere
Concept in graph theory
known as a "Clique graph". The clique graphs have vertices which represent the cliques in the original graph while the edges of the clique graph record
Community_structure
Graph representing edges of another graph
(2009). Evans & Lambiotte (2010). Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Line_graph
Task of computing complete subgraphs
In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete
Clique_problem
0.CO;2-V. ISSN 1097-0118. Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Width_of_a_hypergraph
20th-century Chinese warlord
warlord who ruled Shandong from 1925 to 1928. A member of the Fengtian clique, Zhang was notorious for his brutal and ruthless behavior, eccentric personality
Zhang_Zongchang
The clique percolation method is a popular approach for analyzing the overlapping community structure of networks. The term network community (also called
Clique_percolation_method
Fewest cliques covering a graph's edges
cover by cliques. A set of cliques that cover all edges of a graph is called a clique edge cover or edge clique cover, or even just a clique cover, although
Intersection number (graph theory)
Intersection_number_(graph_theory)
Generalization of line graphs to hypergraphs
Skums, Suzdal' & Tyshkevich (2009) Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Line_graph_of_a_hypergraph
Independent set in a graph
0.CO;2-V. ISSN 1097-0118. Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Rainbow-independent_set
Last letter of the Greek alphabet
Weisstein, Eric W. "Clique". mathworld.wolfram.com. Retrieved 7 February 2025. A clique of a graph G is a complete subgraph of G, and the clique of largest possible
Omega
Generalizations in graph theory
0.CO;2-V. ISSN 1097-0118. Meshulam, Roy (2001-01-01). "The Clique Complex and Hypergraph Matching". Combinatorica. 21 (1): 89–94. doi:10.1007/s004930170006
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
Shi'ite shrine and mosque in Zanjan, Iran
Muharram being a nominated day of mourning. On the eighth day of Muharram a clique of usually more than 500,000 people is formed and moves from the Hosseinieh
Hosseinieh_Azam_Zanjan_Mosque
Political faction of the Chinese Communist Party
affiliations to Xi from his period in Fujian are collectively known as the Fujian clique. In addition, there are other groups of officials, including those that
Xi_Jinping_faction
Network with non-trivial topological features
In the context of network theory, a complex network is a graph (network) with non-trivial topological features—features that do not occur in simple networks
Complex_network
Members of the Communist Party of Kampuchea
Rouge the Pol Pot-Ieng Sary clique (Vietnamese: Tập đoàn Pol Pot-Ieng Sary) or the Pol Pot-Ieng Sary reactionary clique (Vietnamese: Tập đoàn phản động
Khmer_Rouge
Approximate nearest neighbor search algorithm
Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component Cut Cycle Data structure Edge Loop Neighborhood Path Vertex Adjacency
Hierarchical navigable small world
Hierarchical_navigable_small_world
Standard hostname for a networked device's loopback interface
Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component Cut Cycle Data structure Edge Loop Neighborhood Path Vertex Adjacency
Localhost
Degree of connectedness within a graph
Cross-clique centrality of a single node in a complex graph determines the connectivity of a node to different cliques. A node with high cross-clique connectivity
Centrality
1990 single by Deee-Lite
debut single, as well as the lead single from their first album, World Clique (1990). Written and produced by the band, it was a hit in many countries
Groove_Is_in_the_Heart
2006 action-adventure video game
Jimmy as he attempts to become more popular among the school's various "cliques", in addition to attending classes and completing various side missions
Bully_(video_game)
Set of random variables
\operatorname {cl} (G)} is the set of cliques of G {\displaystyle G} . The definition is equivalent if only maximal cliques are used. The functions φ C {\displaystyle
Markov_random_field
Analysis of social structures using network and graph theory
(2011). "Clique relaxation models in social network analysis". In Thai, My T. & Pardalos, Panos M. (eds.). Handbook of Optimization in Complex Networks:
Social_network_analysis
American hip hop group
Shaheem Reid (September 29, 2003). "Mixtape Mondays: T.I. And The Pimp Squad Clique". MTV News. MTV. Archived from the original on March 14, 2014. Retrieved
PSC_(musical_group)
2007 American teen comedy film by Sean McNamara
pyramid that tries to make the Bratz conform to archetypal high school cliques. Principal photography took place in Los Angeles in February and March
Bratz_(film)
Notion in network science of quantum information networks
Quantum complex networks are complex networks whose nodes are quantum computing devices. Quantum mechanics has been used to create secure quantum communications
Quantum_complex_network
Network whose degree distribution follows a power law
properties. There has been a burst of activity in the modeling of scale-free complex networks. The recipe of Barabási and Albert has been followed by several
Scale-free_network
Social structure made up of a set of social actors
To find new information or insights, members of the clique will have to look beyond the clique to its other friends and acquaintances. This is what Granovetter
Social_network
American rapper (1994–2012)
the shooting, Coleman and his clique traveled via car to Parkway Garden Homes, a low-income residential building complex located on the South Side of Chicago
Murder_of_Joseph_J._Coleman
Analysis and representation of complex networks
syntax with representations of cliques, bicliques and stars. Compression levels of up to 95% have been obtained for complex biological networks. Hypergraphs
Power_graph_analysis
Graph generated by a random process
areas in which complex networks need to be modeled – many random graph models are thus known, mirroring the diverse types of complex networks encountered
Random_graph
Machine learning algorithm
The junction tree algorithm (also known as 'Clique Tree') is a method used in machine learning to extract marginalization in general graphs. In essence
Junction_tree_algorithm
Fictional character from Heathers
being named Heather, Veronica becomes part of "The Heathers", a popular clique of three Westerburg High students sharing the name Heather. She is romantically
Veronica_Sawyer
Process by which people befriend similar people
locally, for example at the node/neighborhood level and at the group-size or clique level (within-group vs across-group homophily), which can lead to different
Homophily
2012 compilation album by GOOD Music
It was preceded by four singles—"Mercy", "Cold", "New God Flow", and "Clique"—that saw mixed success on the US Billboard Hot 100 chart. The album features
Cruel Summer (GOOD Music album)
Cruel_Summer_(GOOD_Music_album)
1992 novel by Donna Tartt
of Julian Morrow's clique. Charles and Camilla Macaulay: Charming, but aloof orphaned fraternal twins from Virginia. The complex relationship between
The_Secret_History
Two closely related models for generating random graphs
the largest clique in G(n, 0.5) has almost surely either size k(n) or k(n) + 1. Thus, even though finding the size of the largest clique in a graph is
Erdős–Rényi_model
Graph where most nodes are reachable in a small number of steps
Barmpoutis and Murray, 2010). Small-world networks tend to contain cliques, and near-cliques, meaning sub-networks which have connections between almost any
Small-world_network
This is a list of notable individuals who research complex networks, including social networks, biological networks, and semantic networks, among others
List_of_network_scientists
n + 1 {\displaystyle S^{n+1}} is n {\displaystyle n} . The big-line-big-clique conjecture on the existence of either many collinear points or many mutually
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
community structure, reciprocity is a quantitative measure used to study complex networks. In real network problems, people are interested in determining
Reciprocity_(network_science)
Topics referred to by the same term
Chennai Egmore clique, a political faction in the Madras Presidency of British India; opposed to the Mylapore clique Egmore court complex Egmore metro station
Egmore_(disambiguation)
Arrangement of a communication network
Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component Cut Cycle Data structure Edge Loop Neighborhood Path Vertex Adjacency
Network_topology
Stochastic process formalizing cumulative advantage
network theory approach Capital accumulation Chinese restaurant process Complex network Double jeopardy (marketing) Lindy effect Link-centric preferential
Preferential_attachment
Network that allows computers to share resources and communicate with each other
created in 1940 when George Stibitz connected a terminal at Dartmouth to his Complex Number Calculator at Bell Labs in New York. Today, almost all computers
Computer_network
Chinese political activist, assassin, and underworld figure
governor and Anhui clique warlord Lu Yongxiang, as Xu Guoliang had been a close associate of Jiangsu military governor and Zhili clique warlord Qi Xieyuan
Wang_Ya-chiao
Fractal analysis is useful in the study of complex networks, present in both natural and artificial systems such as computer systems, brain and social
Fractal_dimension_on_networks
Mainland period of the Republic of China
commencing the Warlord Era defined by decentralized conflicts between rival cliques. Meanwhile, the KMT under Sun attempted multiple times to establish a rival
Republic_of_China_(1912–1949)
Computer networking concept
Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component Cut Cycle Data structure Edge Loop Neighborhood Path Vertex Adjacency
Broadcast, unknown-unicast and multicast traffic
Broadcast,_unknown-unicast_and_multicast_traffic
Mixing property of Markov chains and graphs
Interdependent Semantic Spatial Dependency Flow on-Chip Graphs Features Clique Component Cut Cycle Data structure Edge Loop Neighborhood Path Vertex Adjacency
Conductance_(graph_theory)
Study of graphs as a representation of relations between discrete objects
are unknown. Actor-network theory Complex network Complex system Systems thinking Congestion game Quantum complex network Dual-phase evolution Network
Network_theory
American soldier (1845–1876)
handsome features. He was part of the so-called "Custer Clan," which was a clique of close-knit relatives and friends of the former Civil War general. Calhoun
James_Calhoun_(soldier)
2024 DreamWorks Animation film
The Chameleon is summoning villains from the Spirit Realm, including a clique of past Kung-Fu masters. YouTuber Jimmy "MrBeast" Donaldson has a cameo
Kung_Fu_Panda_4
Public university in Beijing, China
poet Wang Guowei, Chen Yinke, and architect Xu Tiantian. The term Tsinghua clique refers to a group of Chinese Communist Party politicians that have graduated
Tsinghua_University
Extremal graph theory bound on clique-free graph edges
graph that does not contain any ( r + 1 ) {\displaystyle (r+1)} -vertex clique K r + 1 {\displaystyle K_{r+1}} may be formed by partitioning the set of
Turán's_theorem
edge has unitary weight, G ideal {\displaystyle G^{\text{ideal}}} is a clique, a full network, and E ( G ideal ) = 1 {\displaystyle E(G^{\text{ideal}})=1}
Efficiency_(network_science)
o tuíte e a promessa - revista piauí". revista piauí - _pra quem tem um clique a mais (in Brazilian Portuguese). Archived from the original on 14 October
Imprisonment of Luiz Inácio Lula da Silva
Imprisonment_of_Luiz_Inácio_Lula_da_Silva
1999 mass shooting in Colorado, U.S.
sparked debates over American gun culture and gun control laws, high school cliques, subcultures (e.g. goths), outcasts, and school bullying, as well as teenage
Columbine High School massacre
Columbine_High_School_massacre
Fusion genre of hip hop and emo music
pioneered by artists such as Black Kray's Goth Money Records, Bones and GothBoiClique members Wicca Phase Springs Eternal, Lil Tracy and Lil Peep. The genre was
Emo_rap
Symbols for constants, special functions
Weisstein, Eric W. "Clique". mathworld.wolfram.com. Retrieved 2025-02-07. A clique of a graph G is a complete subgraph of G, and the clique of largest possible
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Premier of China from 1949 to 1976
his criticisms and began to work more closely with the chairman and his clique. Zhou gave his backing to the establishment of radical Red Guard organizations
Zhou_Enlai
Indonesian singer-songwriter based in the United States (born 1999)
"Every Summertime"". R.S.V.P Clique. Archived from the original on 1 May 2025. Retrieved 30 April 2025. https://www.complex.com/music/a/kiana/best-new-artists-2018
Niki_(singer)
Mathematical theory on behavior of connected clusters in a random graph
Yi-Cheng (2021-04-25). "Percolation on complex networks: Theory and application". Physics Reports. Percolation on complex networks: Theory and application.
Percolation_theory
Electronic communication subsystem on an integrated circuit
improve the scalability of systems-on-chip and the power efficiency of complex SoCs compared to other communication subsystem designs. They are an emerging
Network_on_a_chip
Measure of centrality in a network based on nodal influence
S2CID 121768822. Charles H. Hubbell (1965). "An input-output approach to clique identification". Sociometry. 28 (4): 377–399. doi:10.2307/2785990. JSTOR 2785990
Katz_centrality
American rapper (1996–2017)
and singer-songwriter. He was a member of the hip-hop collective GothBoiClique, and is credited as being a leading figure of the emo rap sub-genre, and
Lil_Peep
Vespignani, Alessandro (2009), "Extracting the multiscale backbone of complex weighted networks", Proceedings of the National Academy of Sciences, 106
Disparity filter algorithm of weighted network
Disparity_filter_algorithm_of_weighted_network
English gangster (1950-2015)
Tiberius files, that Palmer was protected from arrest and investigation by a clique of high-ranking corrupt Metropolitan Police officers. Palmer's companions
John_Palmer_(criminal)
Group Centrality, a generalization of Centrality
Puzis R, Elovici Y, Dolev S (2007). "Finding the most prominent group in complex networks". AI Communications. 20 (4). SAGE Publications: 287–296. Li H
Group_centrality
American rapper (born 1979)
Bible and relevant to hip-hop culture. Also in 2005, the debut album of 116 Clique, The Compilation Album, was released. After the success of Real Talk, Lecrae
Lecrae
2012 single by Lil JoJo
known as Bricksquad 069. Its music video showed Coleman and members of his clique with firearms. The music video and the surrounding controversy are believed
3HunnaK
American rapper and songwriter (1993–2020)
Chicago's hip-hop culture, referring to himself as "Big Clout" and naming his clique and entertainment company "Clout Boyz Entertainment".[citation needed] The
FBG_Duck
Framework for scoring a behavior's complexity
model of hierarchical complexity (MHC) is a framework for scoring how complex a behavior is, such as verbal reasoning or other cognitive tasks. It quantifies
Model of hierarchical complexity
Model_of_hierarchical_complexity
Gansu and Ningxia came under the control of Muslim warlords known as the Ma clique, who served as generals in the National Revolutionary Army. During the Cultural
Religion_in_China
Structural analysis of a network
undirected graphs in order to extract their symmetries when the network is too complex or when it is not large enough to be analyzed by statistical methods. The
Biased_random_walk_on_a_graph
American film producer and actor
(2007) TV movie episode, and Chris Abeley in the Warner Bros. film The Clique (2008), based on the best-selling young adult book series of the same name
Keli_Price
American record label
Chainz. The album was also preceded by the singles "New God Flow" and "Clique", the latter of which peaked at number 12 on the US Billboard Hot 100. It
GOOD_Music
Network representing spatial objects
be notoriously difficult to decide what a spatial element should be in complex spaces involving large open areas or many interconnected paths. The originators
Spatial_network
English writer and poet (1885–1930)
to keep free from the shackles of civilisation and the cant of literary cliques. He would have laughed lightly and cursed venomously in passing at the
D._H._Lawrence
Canadian actress and singer-songwriter
and went on to appear in Life with Derek, Naturally, Sadie, and The L.A. Complex. She is also known for her role as Erica Jones in the My Babysitter's a
Kate_Todd
Scale-free network generation algorithm
distributions on the web. Bianconi–Barabási model Chinese restaurant process Complex networks Erdős–Rényi (ER) model Price's model Percolation theory Scale-free
Barabási–Albert_model
Independent set which is not a subset of any other independent set
be maximal-clique irreducible if every maximal clique has an edge that belongs to no other maximal clique, and hereditary maximal-clique irreducible
Maximal_independent_set
American actor (born 1982)
5, 2012. "Cam Gigandet Biography". TV Guide. Retrieved July 5, 2012. "Cliques and Fists". The New York Times. March 14, 2008. Retrieved July 5, 2012
Cam_Gigandet
British comedy-drama television series (2019–2023)
him; Ruby Matthews, Anwar Bakshi, and Olivia Hanan, members of a popular clique known as "the Untouchables"; Aimee Gibbs, an Untouchable who secretly befriends
Sex_Education_(TV_series)
Network whose links change over time
network features are preserved or lost during randomization. Complex contagion Complex network Epidemic model Directed percolation Dynamic network analysis
Temporal_network
down. In large cities, an influential system of racketeers and a vicious clique of vice lords was economically, socially and politically powerful enough
History of gambling in the United States
History_of_gambling_in_the_United_States
1946 song from the musical Annie Get Your Gun
sampled the opening lines of the song in the 116 Clique song "Envy", from the 2011 album Man Up by the 116 Clique. Laura Osnes and Jeremy Jordan live at Cafe
Anything You Can Do (I Can Do Better)
Anything_You_Can_Do_(I_Can_Do_Better)
Creative content company founded by Kanye West
January 9, 2012. "Clique". Joe Perez. Retrieved June 5, 2016. Diep, Eric, Kanye West Reveals "Cruel Summer" Album Art, August 2, 2012, Complex, retrieved January
Donda_(company)
CLIQUE COMPLEX
CLIQUE COMPLEX
Boy/Male
American, Australian, British, Chinese, Christian, Danish, English, French, German, Jamaican
Cliff; Slope; Bank; Someone who Lived Near a Cliff or a Riverbank; Form of Clifford; From a Steep Cliff
Male
English
Cliff Dweller
Girl/Female
Tamil
Unique
Surname or Lastname
English
English : variant spelling of Cliff.
Male
Spanish
 Pet form of Spanish Enrique, QUIQUE means "home-ruler." Compare with another form of Quique.
Girl/Female
Tamil
Annjaya | அநà¯à®¨à¯à®œà®¯
Unique
Annjaya | அநà¯à®¨à¯à®œà®¯
Boy/Male
Indian
Sweet; Flower; Kind to All
Male
English
English surname transferred to forename use, from the name of various places, derived from Old English clif, CLIVE means "bank, cliff, slope."
Girl/Female
Hindu, Indian, Unique
Goddess Lakshmi; Requester; Unique
Boy/Male
Shakespearean
The Tragedy of Julius Caesar' A servant to Brutus.
Boy/Male
French
Female
French
Feminine form of French Frédéric, FRÉDÉRIQUE means "peaceful ruler."
Girl/Female
Tamil
Unique
Surname or Lastname
English
English : habitational name from any of various places, for example in Shropshire and Cheshire, named Clive, from the dative case of Old English clif ‘slope’, ‘bank’, ‘cliff’ (see Cliff), originally used after a preposition. In some cases the name may be topographical, with the same origin and meaning.
Girl/Female
Latin American
Only one.
Girl/Female
Tamil
Unique
Girl/Female
Tamil
Unique
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Unique Oneness; Unique
Boy/Male
English
Cliff. Lives at the cliffs. From an English surname and place name. Famous bearer 18th century...
Boy/Male
Hindu, Indian
Messenger of God
CLIQUE COMPLEX
CLIQUE COMPLEX
Boy/Male
Assamese, Indian
Earth
Girl/Female
Christian & English(British/American/Australian)
Victorious
Girl/Female
Indian
A Flower
Boy/Male
Tamil
Shravan Kumar | à®·à¯à®°à®µà®£à®•à¯à®®à®¾à®°
A character from the epic ramayana
Male
Cornish
, sportive.
Boy/Male
Indian
Intelligence
Boy/Male
Hindu
Emperor
Surname or Lastname
English
English : variant of Adcock.
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Shiva
Boy/Male
American, Anglo, British, Danish, English, French, German, Jamaican, Swedish
Warrior Chief; Noble; Chief; Regal Hill; Brave King; Golden; One from the Meadow
CLIQUE COMPLEX
CLIQUE COMPLEX
CLIQUE COMPLEX
CLIQUE COMPLEX
CLIQUE COMPLEX
a.
Of or pertaining to a clique; disposed to from cliques; exclusive in spirit.
imp. & p. p.
of Oblique
a.
Having oblique angles; as, an oblique-angled triangle.
p. pr. & vb. n.
of Oblique
v. i.
To To associate together in a clannish way; to act with others secretly to gain a desired end; to plot; -- used with together.
n.
A light skiff or rowboat used on the Bosporus; also, a Levantine vessel of larger size.
n.
An assembly or clique of pedants.
n.
See Cazique.
n.
An oblique line.
n.
A genus of naked pteropods. One species (Clione papilonacea), abundant in the Arctic Ocean, constitutes a part of the food of the Greenland whale. It is sometimes incorrectly called Clio.
v. i.
To deviate from a perpendicular line; to move in an oblique direction.
n.
See Cinque.
n.
A collection of persons employed to applaud at a theatrical exhibition.
n.
Same as Silique.
v. i.
To march in a direction oblique to the line of the column or platoon; -- formerly accomplished by oblique steps, now by direct steps, the men half-facing either to the right or left.
n.
The tendency to associate in cliques; the spirit of cliques.
v. t.
To excite to action by causing resentment or jealousy; to stimulate; to prick; as, to pique ambition, or curiosity.
v. i.
A narrow circle of persons associated by common interests or for the accomplishment of a common purpose; -- generally used in a bad sense.
a.
Oblique; sloping.
n.
See Caique.