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- W2110489378 abstract "Abstract For a multigraph G , the integer round‐up of the fractional chromatic index provides a good general lower bound for the chromatic index . For an upper bound, Kahn 1996 showed that for any real there exists a positive integer N so that whenever . We show that for any multigraph G with order n and at least one edge, ). This gives the following natural generalization of Kahn's result: for any positive reals , there exists a positive integer N so that + c whenever . We also compare the upper bound found here to other leading upper bounds." @default.
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- W2110489378 date "2012-06-13" @default.
- W2110489378 modified "2023-10-05" @default.
- W2110489378 title "A Combined Logarithmic Bound on the Chromatic Index of Multigraphs" @default.
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- W2110489378 doi "https://doi.org/10.1002/jgt.21670" @default.
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