Hamiltonian cycles that pass through of a linear forest in bipartitos grafos balanced

 

में बचाया:
ग्रंथसूची विवरण
लेखकों: Brito, Daniel, Marín, Lope, Ramírez, Henry
स्वरूप: artículo original
स्थिति:Versión publicada
प्रकाशन तिथि:2018
विवरण:Let G = (A ∪ B, E) be a bipartite graph whith |A| = |B| = n ≥ 4. A graph is linear forest if every component is a path. Let S be a set of medges of G that induces a linear forest. We prove that if σ1,1(G) = min{dG(u) + dG(v) : u ∈ A, v ∈ B, uv ̸∈ E(G)} ≥ (n+1)+m,  then G contains (m + 1) hamiltonian cycles Cj such that |E(Cj ) ∩ S| = j, with j = 0, 1, . . . , m.
देश:Portal de Revistas UCR
संस्थान:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
भाषा:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/33908
ऑनलाइन पहुंच:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/33908
संकेत शब्द:bipartite graph
linear forest
hamiltonian cycle
grafo bipartito
bosque lineal
ciclo hamiltoniano