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Graph which is isomorphic to its complement
of graph theory, a self-complementary graph is a graph which is isomorphic to its complement. The simplest non-trivial self-complementary graphs are
Self-complementary_graph
Graph with same nodes as but complementary connections to another
self-complementary graph is a graph that is isomorphic to its own complement. Examples include the four-vertex path graph and five-vertex cycle graph
Complement_graph
Undirected graph acted on by a vertex-transitive cyclic group of symmetries
graph is self-complementary, and is also a circulant graph. More generally every Paley graph of prime order is a self-complementary circulant graph.
Circulant_graph
self-complementary graph, a block graph, a split graph, an interval graph, a claw-free graph, a 1-vertex-connected graph and a 1-edge-connected graph
Bull_graph
Topics referred to by the same term
complement Ones' complement Two's complement Complement graph Self-complementary graph, a graph which is isomorphic to its complement Complemented lattice
Complement
Graph of numbers differing by a square
x ± 3 (mod 13), and x ± 4 (mod 13). The Paley graphs are self-complementary: the complement of any Paley graph is isomorphic to it. One isomorphism is via
Paley_graph
Graph representing faces of another graph
mathematical discipline of graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each
Dual_graph
Unsolved problem in computational complexity theory
bipartite Eulerian graphs bipartite regular graphs line graphs split graphs chordal graphs regular self-complementary graphs polytopal graphs of general, simple
Graph_isomorphism_problem
Topics referred to by the same term
physics Antisymmetric relation in mathematics Skew-symmetric graph Self-complementary graph In mathematics, especially linear algebra, and in theoretical
Antisymmetric
Graph in graph theory
C(H). In particular, the lexicographic product of two self-complementary graphs is self-complementary. The independence number of a lexicographic product
Lexicographic product of graphs
Lexicographic_product_of_graphs
Infinite graph containing all countable graphs
Rado graph. Therefore, the Rado graph is a self-complementary graph. In one of Ackermann's original 1937 constructions, the vertices of the Rado graph are
Rado_graph
Topics referred to by the same term
chains in immunoglobulins Complementary angles, in geometry Self-complementary graph, in graph theory Yin and yang, complementary relation between apparent
Complementarity
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Array of nonnegative integers in combinatorics
symmetric self-complementary if it is cyclically symmetric and self-complementary. The figure presents a cyclically symmetric self-complementary plane partition
Plane_partition
Concept in graph theory
Paley graph of order q is an srg(q, (q − 1)/2, (q − 5)/4, (q − 1)/4). The smallest Paley graph, with q = 5, is the 5-cycle (above). Self-complementary arc-transitive
Strongly_regular_graph
Graph formed by adding isolated or universal vertices
This also explains why threshold graphs are closed under taking complements; the P4 is self-complementary, hence if a graph is P4-, C4- and 2K2-free, its
Threshold_graph
Graph linking pairs of comparable elements in a partial order
cocomparability graphs is self-complementary in the sense that the complement of a cocomparability graph is a comparability graph, and vice versa. Interval graphs are
Comparability_graph
Process of forming order by local interactions
random graphs, and some instances of evolutionary computation and artificial life exhibit features of self-organization. In swarm robotics, self-organization
Self-organization
Problem in graph theory
edges between S and the complementary subset is as large as possible. Equivalently, one wants a bipartite subgraph of the graph with as many edges as possible
Maximum_cut
Perfect graphs have neither odd holes nor odd antiholes
Berge's forbidden graph characterization is self-complementary, the weak perfect graph theorem follows immediately from the strong perfect graph theorem. The
Strong_perfect_graph_theorem
Czech mathematician (1933–2018)
Chvatal, V.; Erdös, P.; Hedrlín, Z. (1972). "Ramsey's theorem and self-complementary graphs". Discrete Mathematics. 3 (4): 301–304. doi:10.1016/0012-365X(72)90087-8
Zdeněk_Hedrlín
Special case of a strongly regular graph
conference graph is always a conference graph with the same parameters, and in many cases is self-complementary, such as for all the Paley graphs. Brouwer
Conference_graph
Matroid with complemented basis sets
their bases, is self-complementary, so the dual of a matroid is necessarily a matroid. The flats of M {\displaystyle M} are complementary to the cyclic
Dual_matroid
Probability of survival beyond any specified time
The survival function is the complementary cumulative distribution function of the lifetime. Sometimes complementary cumulative distribution functions
Survival_function
Undirected bipartite graph with 112 vertices and 168 edges
The Ljubljana graph was first published in 1993 by Brouwer, Dejter and Thomassen as a self-complementary subgraph of the Dejter graph. In 1972, Bouwer
Ljubljana_graph
Process forming a path from many random steps
simple path Maximal entropy random walk – Type of biased random walk on a graph Self-avoiding walk – Sequence of moves on a lattice Unit root – Feature of
Random_walk
Two pentagonal pyramids fused base-to-base
give rise to a graph. It is one of the four four-connected simplicial well-covered graphs. It is also one of the six connected graphs in which its neighborhood
Pentagonal_bipyramid
General concept and operation in mathematics
polyhedron, one can form a planar graph, the graph of its vertices and edges. The dual polyhedron has a dual graph, a graph with one vertex for each face
Duality_(mathematics)
Directed graph isomorphic to its own transpose graph
In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by
Skew-symmetric_graph
Points and lines with equal incidences
doi:10.1515/advgeom-2015-0019. Coxeter, H.S.M. (1999), "Self-dual configurations and regular graphs", The Beauty of Geometry, Dover, ISBN 0-486-40919-8 Dembowski
Configuration_(geometry)
Solid with twenty equal triangular faces
is an example of a Platonic solid and of a deltahedron. The icosahedral graph represents the skeleton of a regular icosahedron. Many polyhedra and other
Regular_icosahedron
Problem-solving method
first printing in 1945-copies sold number in the hundreds of thousands. Complementary to How To Solve It are two other works, each in two volumes: Mathematical
Heuristic
7-cube girth 4. It seems that the Dejter graph is the smallest symmetric graph having a connected self-complementary vertex-spanning semi-symmetric cubic
Dejter_graph
search engine in 1990, and subsequent developments in the field. It is complementary to the history of web search engines page that provides more qualitative
Timeline of web search engines
Timeline_of_web_search_engines
Operation in graph theory
If a graph is locally equivalent to its complement, it is self-complementary. The number of essentially different ways of transforming one graph into
Local_complementation
mathematics, a contraharmonic mean (or antiharmonic mean) is a function complementary to the harmonic mean. The contraharmonic mean is a special case of the
Contraharmonic_mean
1007/s00454-005-1224-9, MR 2202110. Coxeter, H. S. M. (1950), "Self-dual configurations and regular graphs", Bulletin of the American Mathematical Society, 56:
Cremona–Richmond configuration
Cremona–Richmond_configuration
Scale for measuring sexual orientation
Kinsey, Wardell Pomeroy, and others, and were also prominent in the complementary work Sexual Behavior in the Human Female (1953). Alfred Kinsey, the
Kinsey_scale
System with multiple networked computers
different kinds of network graphs, such as undirected rings, unidirectional rings, complete graphs, grids, directed Euler graphs, and others. A general method
Distributed_computing
Sensory system that receives and integrates information from the body
PMID 27172277. Kessler, RC; Soukup, J; Davis, RB; et al. (2001). "The Use of Complementary and Alternative Therapies to Treat Anxiety and Depression in the United
Interoception
Geometric system of two mutually inscribed tetrahedra
German), 27 (2): 359–366. Coxeter, H. S. M. (1950), "Self-dual configurations and regular graphs", Bulletin of the American Mathematical Society, 56 (5):
Möbius_configuration
System of elements that are subordinated to each other
authority. Organizational forms exist that are both alternative and complementary to hierarchy. Heterarchy is one such form. Hierarchies have their own
Hierarchy
Form of second-order logic
with no edges connecting them to the rest of the graph. The complementary problem, testing whether a graph is connected, does not belong to monadic NP. That
Monadic_second-order_logic
Device performing a Boolean function
PMOS and NMOS gates. Both types were later combined and adapted into complementary MOS (CMOS) logic by Chih-Tang Sah and Frank Wanlass at Fairchild Semiconductor
Logic_gate
A complex representation is self-conjugate if it is isomorphic to its complex conjugate. complementary A complementary representation to a subrepresentation
Glossary of representation theory
Glossary_of_representation_theory
Mathematical model of ferromagnetism in statistical mechanics
vertex set V(G) of a weighted undirected graph G determines a cut of the graph G into S and its complementary subset G\S. The size of the cut is the sum
Ising_model
Settlement without third party involvement
Merseyside ). Many other monetary innovations—including local currency and complementary currency systems—fall under the category of collaborative finance. For
Collaborative_finance
Economic model for sustainable development (created 2012)
or lifebelt – combining the concept of planetary boundaries with the complementary concept of social boundaries. The name derives from the shape of the
Doughnut_(economic_model)
Conscious subjective experience
sometimes conceptualize emotion in different ways and at other times in complementary ways. Many of these different approaches were synthesized by Turner
Emotion
Analysing a string of symbols, according to the rules of a formal grammar
visual languages are sometimes based on graph grammars. Adaptive parsing algorithms have been used to construct "self-extending" natural language user interfaces
Parsing
entire range. Complementary distribution functions for the exponential and Pareto distributions are shown below. Shown on the left is a graph of the distributions
Long-tail_traffic
Threshold of percolation theory models
1590/S0103-97332003000300025. S2CID 8972025. Lee, M. J. (2007). "Complementary algorithms for graphs and percolation". Physical Review E. 76 (2) 027702. arXiv:0708
Percolation_threshold
Property of a thermodynamic system
amount λ {\textstyle \lambda } in the state X 1 {\textstyle X_{1}} and a complementary amount, ( 1 − λ ) {\textstyle (1-\lambda )} , in the state X 0 {\textstyle
Entropy
Origins and events of data
data flow reconstruction is computing an association graph from the lineage information. The graph represents the steps in the data flow. The actors act
Data_lineage
Canadian mathematician
in a graph". Discrete Mathematics. 185 (1–3): 245–248. doi:10.1016/S0012-365X(97)00213-6. Dominique De Caen (1998). "The Spectra of Complementary Subgraphs
Dominique_de_Caen
Large-scale brain network active when not focusing on an external task
suggests that each DMN node can be decomposed into subregions with complementary structural and functional properties. It has been a widespread practice
Default_mode_network
Hypothetical faster-than-light particle
term tachyon comes from the Greek: ταχύς, tachus, meaning swift. The complementary particle types are called luxons (which always move at the speed of
Tachyon
Free online crowdsourced encyclopedia
Wikipedia's launch, but with limited success. Wikipedia began as a complementary project for Nupedia, a free online English-language encyclopedia project
Wikipedia
Study of the attraction between people that leads to friendship or romance
self than to those who did not. Specifically, low self-esteem individuals appeared more likely to desire a complementary relationship than high self-esteem
Interpersonal_attraction
Mathematical model of the time dependence of a point in space
state automata Turing machines Arithmetic dynamics Graph dynamical system By its discrete nature graph theory and in general any form of discrete mathematics
Dynamical_system
Research integrity risk metric
Librarian at the American University of Beirut, RI² is presented as complementary to conventional global university rankings, which primarily emphasize
Research_Integrity_Risk_Index
Idempotent linear transformation from a vector space to itself
\in U,\mathbf {v} \in V.} The image and kernel of a projection are complementary, as are P {\displaystyle P} and Q = I − P {\displaystyle Q=I-P} . The
Projection_(linear_algebra)
Model in development economics
the help of the graph on the right, which is an integration of the industrial sector graph with an inverted agricultural sector graph, such that the origin
Fei–Ranis model of economic growth
Fei–Ranis_model_of_economic_growth
Independence system partitionable into circuits
generalization of the Eulerian graphs, graphs in which every vertex has even degree. By Veblen's theorem the edges of every such graph may be partitioned into
Eulerian_matroid
the support of the intellectual elite, and the encouragement of self-support and self-government among members of the Korean church, and finally the identification
Religion_in_South_Korea
statics – Compensating differential – Competition – Competition law – Complementary good – Complexity economics – Comprehensive Income Policy Agreement
Index_of_economics_articles
Mathematical function common in physics
function is recovered. With a stretching exponent β between 0 and 1, the graph of log f versus t is characteristically stretched, hence the name of the
Stretched exponential function
Stretched_exponential_function
Cryptocurrency
(Abbreviation: XNO) is a cryptocurrency characterized by a directed acyclic graph data structure and distributed ledger, making it possible for Nano to work
Nano_(cryptocurrency)
Ionic structure in solution
tailored properties. Graph Theory Analysis: Ions often self-assemble into large and polydisperse aggregates in solution. Graph-theoretical approaches
Ion_network
Numbers obtained by adding the two previous ones
the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed
Fibonacci_sequence
Interdisciplinary theory
stage; it seems that the complex process of emerging cognition requires complementary views. The binding problem is the viewpoint on how organisms at the
Embodied_cognition
Pollution around Earth by defunct artificial objects
2010 Beijing Orbital Debris Mitigation Workshop, 18–19 October 2010, see graph p. 4. Archived 9 March 2012 at the Wayback Machine. Brown, M. (2012). Orbital
Space_debris
Theory on how and why new ideas spread
inter-city innovation networks in China using temporal exponential random graph models (TERGM), highlighting the role of network evolution in shaping innovation
Diffusion_of_innovations
Interviewing method based on personal construct theory of personality
practitioners to use semantic network techniques in addition to the repertory grid. Graph (abstract data type) Implicit Relational Assessment Procedure Knowledge
Repertory_grid
Convex polyhedron with 12 triangular faces
intersect, and when they cross an edge of the polyhedron, they make complementary angles on the two incident faces to the edge. Intuitively, one could
Snub_disphenoid
Chinese view of heaven
needed] In Taoism and Confucianism, Tian is described in relation to its complementary aspect Dì (地), which is the term for Earth . Together, they were understood
Tian
Infinite integer series where the next number is the sum of the two preceding it
are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary instances of Lucas sequences. The Lucas sequence has the same recursive
Lucas_number
Ability to apply numerical concepts
ability to understand numerical information, such as required to interpret graphs and charts) and the statistical skills (the ability to apply higher probabilistic
Numeracy
Logical principle
vagueness Limited principle of omniscience – Mathematical concept Logical graph – Type of diagrammatic notation for propositional logicPages displaying
Law_of_excluded_middle
Interdisciplinary study of systems
of the sciences. System philosophy, methodology and application are complementary to this science. Cognizant of advances in science that questioned classical
Systems_theory
Probability distribution
masks the underlying simplicity of the function when plotted on a log-log graph, which then takes the form of a straight line with negative gradient: It
Pareto_distribution
Competitive algorithm for searching a problem space
case. Tree-like representations are explored in genetic programming and graph-form representations are explored in evolutionary programming; a mix of
Genetic_algorithm
American teen drama television series
soon discovers that he deals with similar issues to his new peers, such as self-identity conflict and familial alienation. The relationship between Ryan
The_O.C.
Generalized notion of counting curve intersections
formula states: let X be a regular variety, V and W two subvarieties of complementary dimension such that V ∩ W is zero-dimensional. For any point x ∈ V ∩
Intersection_number
Observation on the growth of integrated circuit capacity
the limit for the number of transistors on the most complex chips. The graph at the top of this article shows this trend holds true today. As of 2025[update]
Moore's_law
Type of imaging sensor
reconstruction can be achieved using temporal smoothing, e.g. high-pass or complementary filter. Alternative methods include optimization and gradient estimation
Event_camera
AMD computing architecture
describe the AI engine instantiation, placement and connection is named AIE graph. The official programming model suggested by AMD requires writing such a
AI_engine
Postures in hatha yoga and modern yoga practice
exercise: a review of comparison studies". Journal of Alternative and Complementary Medicine. 16 (1): 3–12. doi:10.1089/acm.2009.0044. PMID 20105062. S2CID 14130906
Asana
Type of vector space in math
to the closed graph theorem, which asserts that a linear function from one Banach space to another is continuous if and only if its graph is a closed set
Hilbert_space
Vital force in traditional Chinese philosophy
气 until the Han dynasty (206 BCE–220 CE), when it was replaced by the 氣 graph clarified with mǐ 米 "rice" indicating "steam (rising from rice as it cooks
Qi
Particle physics process
of 4σ, below the discovery level. These improvements are driven by new graph-based architectures for deep learning-based jet tagging that have improved
Higgs_pair_production
Optical prism
(Photographs of quarter-wave rhomb and cemented inline half-wave pair, with graph of relative phase shifts vs. vacuum wavelength.) Cf. Jenkins & White, 1976
Fresnel_rhomb
Transistor that uses both electrons and holes as charge carriers
generation of mainframe and minicomputers, but computer systems now use complementary metal–oxide–semiconductor (CMOS) integrated circuits relying on the
Bipolar_junction_transistor
Functional relationship between two quantities
the upper tail region. The most convenient way to do this is via the (complementary) cumulative distribution (ccdf) that is, the survival function, P (
Power_law
Analysis of variance Analytic and enumerative statistical studies Ancestral graph Anchor test Ancillary statistic ANCOVA – redirects to Analysis of covariance
List_of_statistics_articles
Study of the inheritance of continuously variable traits
of inbreeding of all types, as can be seen in the graphs above. The selfing curve is, in fact, a graph of the coefficient of parentage. These are derived
Quantitative_genetics
Generation of text in natural languages
programming languages, which makes NLG more challenging. NLG may be viewed as complementary to natural language understanding (NLU): whereas in natural-language
Natural_language_generation
Ongoing COVID-19 viral pandemic in Bulgaria
disease expert. The council's mission was to provide the government with complementary analysis and action proposals and the general public with professional
COVID-19_pandemic_in_Bulgaria
Algorithms for solving convex optimization problems
the "perturbed complementarity" condition, for its resemblance to "complementary slackness" in KKT conditions. We try to find those ( x μ , λ μ ) {\displaystyle
Interior-point_method
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
Boy/Male
Biblical
A rock.
Girl/Female
Hindu
One who praises, Complimentary
Surname or Lastname
English
English : from Middle English selle, a rough hut of the type normally occupied by animals, hence a topographic name for someone who lived in a hut like this. In many cases the name may have been in effect a metonymic occupational name for a herdsman.Americanized spelling of Hungarian and Hungarian Jewish Széll, a topographic name for someone who lived in a spot exposed to the wind, from Hungarian szél ‘wind’.German : variant of Selle.
Girl/Female
Hebrew Biblical
Rock.
Girl/Female
Hindu
One who praises, Complimentary
Male
Yiddish
(סֶעף) Variant spelling of Yiddish Zeff, SEFF means "wolf."
Girl/Female
Tamil
Iditri | இதிதà¯à®°à¯€
One who praises, Complimentary
Iditri | இதிதà¯à®°à¯€
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Complimentary
Boy/Male
British, English, Nigerian, Norwegian
Rock
Boy/Male
Welsh
peace'.
Girl/Female
Tamil
Idhitri | இதிதà¯à®°à¯€
One who praises, Complimentary
Idhitri | இதிதà¯à®°à¯€
Boy/Male
Muslim
Sword
Girl/Female
Egyptian
Boy/Male
British, English, Hebrew
A Tree
Girl/Female
British, English
Soft
Surname or Lastname
English (East Anglia)
English (East Anglia) : from the Middle English personal name Saulf, Old English Sǣwulf, composed of the elements sǣ ‘sea’ + wulf ‘wolf’.
Male
Welsh
Welsh form of Greek SolomÅn, SELYF means "peaceable."Â
Boy/Male
African, Arabic, Hindu, Indian, Muslim, Sindhi, Swahili
Sword; Brave; Sword of Religion
Male
English
(סֶלַע) Anglicized form of Hebrew Cela, SELA means "a rock." In the Old Testament bible, this is the name of the capital city of Edom, possibly an early name for Petra. In use as a unisex name.
Boy/Male
Indian
Sword
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
Boy/Male
Hindu, Indian
Patience
Boy/Male
Muslim
Of reddish hair, Complexion (1)
Girl/Female
Tamil
Sanjuktha | ஸஂஜà¯à®•à¯à®¤à®¾
Union
Boy/Male
Arabic, Muslim
Rain
Girl/Female
Muslim
Name of a Goddess, Beautiful eyed
Male
Arthurian
, (Sir), 1st knight of the Round Table.
Girl/Female
Tamil
Boy/Male
Tamil
Destroyer of evil, Killing enemies
Boy/Male
Native American
crow.
Boy/Male
Hindu, Indian, Sanskrit
Cow-herder
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
SELF COMPLEMENTARY-GRAPH
n.
Self.
n.
Self-devotion.
n.
Enjoyment of one's self; self-satisfaction.
n.
The act of governing one's self, or the state of being governed by one's self; self-control; self-command.
a.
Disposed to self-assertion; self-asserting.
a.
Complimentary.
a.
Complimentary; courteous.
a.
Dependent on one's self; self-depending; self-reliant.
a.
Expressive of regard or praise; of the nature of, or containing, a compliment; as, a complimentary remark; a complimentary ticket.
n.
Control of one's self; restraint exercised over one's self; self-command.
n.
Self-communion.
n.
Self-denial; self-renunciation; self-sacrifice.
a.
Self-repelling.
a.
Serving to fill out or to complete; as, complementary numbers.
a.
Refusing to gratify one's self; self-sacrificing.
n.
Self-deceit.
n.
Restraint over one's self; self-control; self-command.
n.
Faith in one's self; self-reliance.
n.
Imposture practiced on one's self; self-deceit.
a.
Complimentary.