The generalized Turán number ex ( n , T , F ) is the maximum number of copies of T in any F-free graph on n vertices. Obviously, ex ( n , K 2 , F ) = ex ( n , F ) ...

Sep 18, 2023 · Abstract:The generalized Turán number \ex(n,K_s,F)$\ex(n,K_s,F)$ denotes the maximum number of copies of K_s in an n-vertex F-free graph.

Apr 3, 2024 · We investigate a graph labeling called the total vertex irregularity strength (tvs(G)). A tvs(G) is minimum for which graph has a vertex ...

Apr 5, 2024 · Abstract. The generalized Turan number ex(n, Ks, F) denotes the maximum number of copies of Ks in an n -vertex F -free graph.

Oct 4, 2022 · It is the problem of finding a clique in a simple undirected graph such that this clique is maximal, ie, there is no other clique in the graph that consists of ...

Feb 29, 2024 · For a graph of genus g, it holds that it cannot have too many disjoint 5-cliques, as each clique requires a new handle. It feels that given a ...

Nov 17, 2019 · In a (2C4,C5,P5)-free graph, the largest induced cycle is of length 4, and no two 4-cycles are edge-disjoint.

May 22, 2024 · The maximal clique is the complete subgraph of a given graph which contains the maximum number of nodes. Examples: Input: N = 4, edges[][] = {{1 ...

Jul 23, 2013 · So, the answer is yes -- by the basic Ramsey's theorem. If you had arbitrarily large cliques in G, then you could partition the edges of ...