Article ID Journal Published Year Pages File Type
4650421 Discrete Mathematics 2008 10 Pages PDF
Abstract

Call a simple graph HH of order nnwell-separable  , if by deleting a separator set of size o(n)o(n) the leftover will have components of size at most o(n)o(n). We prove, that bounded degree well-separable spanning subgraphs are easy to embed: for every γ>0γ>0 and positive integer ΔΔ there exists an n0n0 such that if n>n0n>n0, Δ(H)⩽ΔΔ(H)⩽Δ for a well-separable graph HH of order nn and δ(G)⩾(1-1/2(χ(H)-1)+γ)nδ(G)⩾(1-1/2(χ(H)-1)+γ)n for a simple graph GG of order nn, then H⊂GH⊂G. We extend our result to graphs with small band-width, too.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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