On packing bipartite graphs

Péter Hajnal; Márió Szegedy

doi:10.1007/BF01285818

On packing bipartite graphs

Péter Hajnal, Márió Szegedy

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

G and H, two simple graphs, can be packed if G is isomorphic to a subgraph of {Mathematical expression}, the complement of H. A theorem of Catlin, Spencer and Sauer gives a sufficient condition for the existence of packing in terms of the product of the maximal degrees of G and H. We improve this theorem for bipartite graphs. Our condition involves products of a maximum degree with an average degree. Our relaxed condition still guarantees a packing of the two bipartite graphs.

Original language	English (US)
Pages (from-to)	295-301
Number of pages	7
Journal	Combinatorica
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/BF01285818
State	Published - Sep 1992
Externally published	Yes

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

Keywords

AMS subject classification code (1991): 05C70

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10.1007/BF01285818

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abstract = "G and H, two simple graphs, can be packed if G is isomorphic to a subgraph of \{Mathematical expression\}, the complement of H. A theorem of Catlin, Spencer and Sauer gives a sufficient condition for the existence of packing in terms of the product of the maximal degrees of G and H. We improve this theorem for bipartite graphs. Our condition involves products of a maximum degree with an average degree. Our relaxed condition still guarantees a packing of the two bipartite graphs.",

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TY - JOUR

T1 - On packing bipartite graphs

AU - Hajnal, Péter

AU - Szegedy, Márió

PY - 1992/9

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N2 - G and H, two simple graphs, can be packed if G is isomorphic to a subgraph of {Mathematical expression}, the complement of H. A theorem of Catlin, Spencer and Sauer gives a sufficient condition for the existence of packing in terms of the product of the maximal degrees of G and H. We improve this theorem for bipartite graphs. Our condition involves products of a maximum degree with an average degree. Our relaxed condition still guarantees a packing of the two bipartite graphs.

AB - G and H, two simple graphs, can be packed if G is isomorphic to a subgraph of {Mathematical expression}, the complement of H. A theorem of Catlin, Spencer and Sauer gives a sufficient condition for the existence of packing in terms of the product of the maximal degrees of G and H. We improve this theorem for bipartite graphs. Our condition involves products of a maximum degree with an average degree. Our relaxed condition still guarantees a packing of the two bipartite graphs.

KW - AMS subject classification code (1991): 05C70

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M3 - Article

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JO - Combinatorica

JF - Combinatorica

IS - 3

ER -

On packing bipartite graphs

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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