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Investigations on an edge coloring problem

✍ Scribed by D. de Werra


Book ID
107748111
Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
527 KB
Volume
1
Category
Article
ISSN
0012-365X

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## Abstract When can a __k__‐edge‐coloring of a subgraph __K__ of a graph __G__ be extended to a __k__‐edge‐coloring of __G__? One necessary condition is that for all __X βŠ† E__(__G__) ‐ __E__(__K__), where ΞΌ~i~(__X__) is the maximum cardinality of a subset of __X__ whose union with the set of edg

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An edge-coloring of a simple graph \(G\) with colors \(1,2, \ldots, t\) is called an interval \(t\)-coloring [3] if at least one edge of \(G\) is colored by color \(i, i=1, \ldots, t\) and the edges incident with each vertex \(x\) are colored by \(d_{G}(x)\) consecutive colors, where \(d_{G}(x)\) is