Results 161 to 170 of about 2,876,957 (249)

Simonovits's theorem in random graphs

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.
Abstract Let H$H$ be a graph with χ(H)=r+1$\chi (H) = r+1$. Simonovits's theorem states that, if H$H$ is edge‐critical, the unique largest H$H$‐free subgraph of Kn$K_n$ is its largest r$r$‐partite subgraph, provided that n$n$ is sufficiently large. We show that the same holds with Kn$K_n$ replaced by the binomial random graph Gn,p$G_{n,p}$ whenever H$H$
Ilay Hoshen, Wojciech Samotij
wiley   +1 more source

Effects on Seidel energy of two special types of graphs by perturbing edges

open access: yesKuwait Journal of Science
Let G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G.
doaj   +1 more source

A generative model for bipartite gene-sharing networks. [PDF]

open access: yesProc Natl Acad Sci U S A
Iranzo J   +4 more
europepmc   +1 more source

Polyhedral Graphs of GRAPH PARTITIONING and COMPLETE BIPARTITE SUBGRAPH Problems

open access: yes, 2012
We provide an effective description of graphs of polyhedra for GRAPH PARTITIONING and COMPLETE BIPARTITE SUBGRAPH problems. We establish the fact, that the clique number for each of this problems increases exponentially with the dimension of the space.
V. A. Bondarenko, A. I. Antonov
core  

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