Partitionable graphs, circle graphs, and the berge strong perfect graph conjecture

Mark A. Buckingham; Martin Charles Golumbic

doi:10.1016/0012-365X(83)90005-5

Partitionable graphs, circle graphs, and the berge strong perfect graph conjecture

Mark A. Buckingham, Martin Charles Golumbic

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

Abstract

Partitionable graphs have been studied by a number of authors in conjunction with attempts at proving the Berge Strong Perfect Graph Conjecture (SPGC). We give some new properties of partitionable graphs which can be used to give a new proof that the SPGC holds for K_1,3-free graphs. Finally, we will show that the SPGC also holds for the class of circle graphs.

Original language	English
Pages (from-to)	45-54
Number of pages	10
Journal	Discrete Mathematics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1016/0012-365X(83)90005-5
State	Published - 1983
Externally published	Yes

Bibliographical note

Funding Information:
* The research for this paper was supported in part by the National Science Foundation under Grant No. MCS78-03820. **Current affiliation: Arthur Andersen % Co., New York, NY 10105, USA. *** Current affiliation: I.B.M. Israel Scientific Center, Technion City, Haifa, Israel.

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(83)90005-5

Cite this

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title = "Partitionable graphs, circle graphs, and the berge strong perfect graph conjecture",

abstract = "Partitionable graphs have been studied by a number of authors in conjunction with attempts at proving the Berge Strong Perfect Graph Conjecture (SPGC). We give some new properties of partitionable graphs which can be used to give a new proof that the SPGC holds for K1,3-free graphs. Finally, we will show that the SPGC also holds for the class of circle graphs.",

author = "Buckingham, {Mark A.} and Golumbic, {Martin Charles}",

note = "Funding Information: * The research for this paper was supported in part by the National Science Foundation under Grant No. MCS78-03820. **Current affiliation: Arthur Andersen % Co., New York, NY 10105, USA. *** Current affiliation: I.B.M. Israel Scientific Center, Technion City, Haifa, Israel.",

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AU - Golumbic, Martin Charles

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PY - 1983

Y1 - 1983

N2 - Partitionable graphs have been studied by a number of authors in conjunction with attempts at proving the Berge Strong Perfect Graph Conjecture (SPGC). We give some new properties of partitionable graphs which can be used to give a new proof that the SPGC holds for K1,3-free graphs. Finally, we will show that the SPGC also holds for the class of circle graphs.

AB - Partitionable graphs have been studied by a number of authors in conjunction with attempts at proving the Berge Strong Perfect Graph Conjecture (SPGC). We give some new properties of partitionable graphs which can be used to give a new proof that the SPGC holds for K1,3-free graphs. Finally, we will show that the SPGC also holds for the class of circle graphs.

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ER -

Partitionable graphs, circle graphs, and the berge strong perfect graph conjecture

Abstract

Bibliographical note

ASJC Scopus subject areas

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