Chetwynd, Amanda G. and Hilton, A. J. W. (1986) Critical star multigraphs. Graphs and Combinatorics, 2 (1). pp. 209-221. ISSN 0911-0119Full text not available from this repository.
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.
|Journal or Publication Title:||Graphs and Combinatorics|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Prof Amanda Chetwynd|
|Deposited On:||21 Nov 2008 16:26|
|Last Modified:||07 Jan 2015 13:16|
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