Strong Chromatic Index of 2-Degenerate Graphs

Strong Chromatic Index of 2-Degenerate Graphs

We prove that the strong chromatic index of a 2‐degenerate graph is linear in the maximum degree Δ. This includes the class of all chordless graphs (graphs in which every cycle is induced) which in turn includes graphs where the cycle lengths are multiples of four, and settles a problem by Faudree e...

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Veröffentlicht in:Journal of graph theory 2013-06, Vol.73 (2), p.119-126
Hauptverfasser: Chang, Gerard Jennhwa, Narayanan, N.
Format: Artikel
Sprache:eng
Schlagworte:
2-degenerate graph
block line critical graph
chordless graph
edge coloring
induced matching
strong chromatic index
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Zusammenfassung:We prove that the strong chromatic index of a 2‐degenerate graph is linear in the maximum degree Δ. This includes the class of all chordless graphs (graphs in which every cycle is induced) which in turn includes graphs where the cycle lengths are multiples of four, and settles a problem by Faudree et al. (Ars Combin 29(B) (1990), 205–211). © 2012 Wiley Periodicals, Inc. J. Graph Theory 73: 119–126, 2013
ISSN:0364-9024
1097-0118
DOI:10.1002/jgt.21646