Critical star multigraphs.

Chetwynd, Amanda G. and Hilton, A. J. W. (1986) Critical star multigraphs. Graphs and Combinatorics, 2 (1). pp. 209-221. ISSN 0911-0119

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Abstract

A star-multigraphG is a multigraph in which there is a vertexv + which is incident with each non-simple edge. It is critical if it is connected, Class 2 and(G\e) < (G) for eache E(G). We show that, ifG is any star multigraph, then(G) (G) + 1. We investigate the edge-chromatic class of star multigraphs with at most two vertices of maximum degree. We also obtain a number of results on critical star multigraphs. We shall make use of these results in later papers.

Item Type:
Journal Article
Journal or Publication Title:
Graphs and Combinatorics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
19977
Deposited By:
Deposited On:
21 Nov 2008 16:26
Refereed?:
No
Published?:
Published
Last Modified:
18 Nov 2020 11:19