The Total Chromatic Number of Graphs of High Minimum Degree

نویسندگان

  • A. G. CHETWYND
  • A. J. W. HILTON
  • ZHAO CHENG
چکیده

If G is a simple graph with minimum degree <5(G) satisfying <5(G) ^ f(| K(C?)| -f-1) the total chromatic number conjecture holds; moreover if S(G) ^ f| V(G)\ then #T(G) < A(G) + 3. Also if G has odd order and is regular with d{G) ^ \^/1\V{G)\ then a necessary and sufficient condition for ^T((7) = A((7)+ 1 is given.

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تاریخ انتشار 1991