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- W4299814327 abstract "Let k≥2 and n≥1 be integers, let G be a graph of order n with minimum degree at least k + 1. Let υ1,υ2,…,υk be k distinct vertices of G, and suppose that there exist k vertex disjoint cycles C1,…,Ck in G such that υi∈V(Ci) for each 1≤i≤k. Suppose further that the minimum value of the sum of the degrees of two nonadjacent distinct vertices is greater than or equal to n+k−43. Under these assumptions, we show that there is a 2-factor of G with k cycles D1,D2,…,Dk such that υi∈V(Di) for each 1≤i≤k." @default.
- W4299814327 created "2022-10-03" @default.
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- W4299814327 date "2002-06-01" @default.
- W4299814327 modified "2023-10-18" @default.
- W4299814327 title "Degree-Sum Conditions for Graphs to Have 2-Factors with Cycles Through Specified Vertices" @default.
- W4299814327 doi "https://doi.org/10.55937/sut/1057898618" @default.
- W4299814327 hasPublicationYear "2002" @default.
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