Embedding of graphs in two-irregular graphs

M. Axenovich, Z. Füredi

Research output: Contribution to journalArticle

Abstract

A graph G on n vertices is called two-irregular if there are at most two vertices having the same degree for all possible degrees. We show that every graph with maximal degree at most n/8 - O(n 3/4) can be embedded into a two-irregular graph. We obtain it as a corollary of an algorithmic proof of a result about packing the graphs. This improves the bound of O(n 1/4) given by Faudree et al.

Original languageEnglish
Pages (from-to)75-83
Number of pages9
JournalJournal of Graph Theory
Volume36
Issue number2
Publication statusPublished - 2001

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Packing
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Keywords

  • Degree sequence
  • Embedding
  • Irregular
  • Packing

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Embedding of graphs in two-irregular graphs. / Axenovich, M.; Füredi, Z.

In: Journal of Graph Theory, Vol. 36, No. 2, 2001, p. 75-83.

Research output: Contribution to journalArticle

Axenovich, M. ; Füredi, Z. / Embedding of graphs in two-irregular graphs. In: Journal of Graph Theory. 2001 ; Vol. 36, No. 2. pp. 75-83.
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