Abstract
The problem of determining bounds for the chromatics index and the cover index of a multigraph is considered. Results stated include (I) a bound for the cover index which is analogous to the well-known bound for the chromatic index due to Shannon, (II) a bound for the chromatic index (and analogous bound for the cover index) which establishes conjectures by Berge and Bosak.
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References
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© 1978 Springer-Verlag Berlin Heidelberg
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Gupta, R.P. (1978). On the chromatic index and the cover index of a multigraph. In: Alavi, Y., Lick, D.R. (eds) Theory and Applications of Graphs. Lecture Notes in Mathematics, vol 642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070378
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DOI: https://doi.org/10.1007/BFb0070378
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