M ar 2 00 6 An Extremal Problem On Potentially K r + 1 − ( kP 2 ⋃ tK 2 ) - graphic Sequences ∗
نویسندگان
چکیده
A sequence S is potentially Km − H-graphical if it has a realization containing a Km − H as a subgraph. Let σ(Km − H,n) denote the smallest degree sum such that every n-term graphical sequence S with σ(S) ≥ σ(Km−H,n) is potentially Km−H-graphical. In this paper, we determine σ(Kr+1−(kP2 ⋃ tK2), n) for n ≥ 4r+10, r+1 ≥ 3k+2t, k+t ≥ 2, k ≥ 1, t ≥ 0 .
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