Abstract | ||
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Galvin solved the Dinitz conjecture by proving that bipartite graphs are Δ-edge-choosable. We employ Galvin's method to show some further list edge-colouring properties of bipartite graphs. In particular, there exist balanced list edge-colourings for bipartite graphs. In the light of our result, it is a natural question whether a certain generalization of the well-known list colouring conjecture is true. |
Year | DOI | Venue |
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2010 | 10.1016/j.endm.2010.05.106 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
list edge-colouring,galvin's theorem,list,chromatic index,bipartite graph,indexation | Edge coloring,Discrete mathematics,Complete bipartite graph,Combinatorics,Stable marriage problem,Biregular graph,Bipartite graph,Matching (graph theory),3-dimensional matching,Mathematics,Dinitz conjecture | Journal |
Volume | ISSN | Citations |
36 | Electronic Notes in Discrete Mathematics | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tamás Fleiner | 1 | 241 | 27.45 |
András Frank | 2 | 753 | 163.71 |