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Property in graph theory
In graph theory, a branch of mathematics, a t-biclique-free graph is a graph that has no Kt,t (complete bipartite graph with 2t vertices) as a subgraph
Biclique-free_graph
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first
Complete_bipartite_graph
Graph with almost the max amount of edges
dense. The classes of graphs with bounded degeneracy and of nowhere dense graphs are both included in the biclique-free graphs, graph families that exclude
Dense_graph
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
Unsolved problem in extremal graph theory
into subsets for which the Kővári–Sós–Turán bound is tight. Biclique-free graph, sparse graphs whose sparsity is controlled by the solution to the Zarankiewicz
Zarankiewicz_problem
Subset of a graph's nodes such that all other nodes link to at least one
that is, the problem is FPT on biclique-free graphs, a very general class of sparse graphs that includes the planar graphs. The complementary set to a dominating
Dominating_set
Size of biclique cover of a graph
mathematical fields of graph theory and combinatorial optimization, the bipartite dimension or biclique cover number of a graph G = (V, E) is the minimum
Bipartite_dimension
Set of edges without common vertices
vertex biclique problems may be solved in polynomial time for bipartite graphs. Hall's marriage theorem provides a characterization of bipartite graphs which
Matching_(graph_theory)
Graph in which every two vertices are adjacent
network, in computer networking Complete bipartite graph (or biclique), a special bipartite graph where every vertex on one side of the bipartition is
Complete_graph
Adjacent subset of an undirected graph
graph. The clique cover problem concerns finding as few cliques as possible that include every vertex in the graph. A related concept is a biclique,
Clique_(graph_theory)
Maximum number of colors in a greedy graph coloring
Jung; Sikora, Florian (2023), "Grundy Coloring and Friends, Half-Graphs, Bicliques", Algorithmica, 85: 1–28, doi:10.1007/s00453-022-01001-2, S2CID 250614665
Grundy_number
technique of flag algebras. Biclique-free graph Erdős–Hajnal conjecture Turán number Subgraph isomorphism problem Forbidden graph characterization Combinatorics:
Forbidden_subgraph_problem
Derived graph of higher chromatic number
(1998), "Hamiltonicity, diameter, domination, packing, and biclique partitions of Mycielski's graphs", Discrete Applied Mathematics, 84 (1–3): 93–105, doi:10
Mycielskian
Class of mathematical graphs
other of which induces a complete bipartite graph (a biclique). They are defined analogously to split graphs, in which the vertices can be partitioned into
Bisplit_graph
Intersection graph for curves in the plane
graph, by the removal of O ( m 3 / 4 log 1 / 2 m ) {\displaystyle O(m^{3/4}\log ^{1/2}m)} vertices. It follows that the biclique-free string graphs
String_graph
Fewest cliques covering a graph's edges
Bipartite dimension, the smallest number of bicliques needed to cover all edges of a graph Bound graph, a type of graph characterized by clique edge covers of
Intersection number (graph theory)
Intersection_number_(graph_theory)
define a bipartite graph on the sets of agents and houses. An envy-free house allocation corresponds to an envy-free matching in this graph. The following
House_allocation_problem
Family of graphs whose shallow minors are sparse graphs
per edge, as well as the biclique-free string graphs, since these all obey similar separator theorems to the planar graphs. In higher dimensional Euclidean
Bounded_expansion
Cryptographic attack
large delay as the CPU tries to backtrack. This requires writing branch-free code. Some "complicated" mathematical operations, depending on the actual
Timing_attack
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