Bipancyclic Subgraphs in Random Bipartite Graphs
نویسندگان
چکیده
منابع مشابه
Bipancyclic subgraphs in random bipartite graphs
A bipartite graph on 2n vertices is bipancyclic if it contains cycles of all even lengths from 4 to 2n. In this paper we prove that the random bipartite graph G(n, n, p) with p(n) À n−2/3 asymptotically almost surely has the following resilience property: Every Hamiltonian subgraph G′ of G(n, n, p) with more than (1/2 + o(1))n2p edges is bipancyclic. This result is tight in two ways. First, the...
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ژورنال
عنوان ژورنال: International Journal of Open Problems in Computer Science and Mathematics
سال: 2013
ISSN: 1998-6262
DOI: 10.12816/0006180