A ug 2 00 3 A note on potentially K 4 − e graphical sequences ∗
نویسنده
چکیده
A sequence S is potentially K4 − e graphical if it has a realization containing a K4 − e as a subgraph. Let σ(K4 − e, n) denote the smallest degree sum such that every n-term graphical sequence S with σ(S) ≥ σ(K4 − e, n) is potentially K4 − e graphical. Gould, Jacobson, Lehel raised the problem of determining the value of σ(K4 − e, n). In this paper, we prove that σ(K4 − e, n) = 2[(3n− 1)/2] for n ≥ 7, and n = 4, 5, and σ(K4 − e, 6) = 20.
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تاریخ انتشار 2003