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  On the Bollob\'as -- Eldridge conjecture for bipartite graphs

Csaba, B.(2003). On the Bollob\'as -- Eldridge conjecture for bipartite graphs (MPI-I-2003-1-009). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-6B3A-F Version Permalink: https://hdl.handle.net/21.11116/0000-0001-28AC-1
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 Creators:
Csaba, Bela1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Let $G$ be a simple graph on $n$ vertices. A conjecture of Bollob\'as and Eldridge~\cite{be78} asserts that if $\delta (G)\ge {kn-1 \over k+1}$ then $G$ contains any $n$ vertex graph $H$ with $\Delta(H) = k$. We strengthen this conjecture: we prove that if $H$ is bipartite, $3 \le \Delta(H)$ is bounded and $n$ is sufficiently large , then there exists $\beta >0$ such that if $\delta (G)\ge {\Delta \over {\Delta +1}}(1-\beta)n$, then $H \subset G$.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Issued
 Pages: 29 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-2003-1-009
BibTex Citekey: Csaba2003
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Title: Research Report / Max-Planck-Institut für Informatik
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