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- W1988100400 abstract "Abstract We study the structure of graphs with a unique k-factor. Our results imply a conjecture of Hendry on the maximal number m(n, k) of edges in a graph G of order n with a unique k-factor: For k > n/2,kn even, we prove m(n,k) = nk 2 + n−k 2 and construct all corresponding extremal graphs. For k ≤ n/2,kn even, we prove m(n,k) ≤ + (k − 1)n/4. For n = 2kl, l ∈ N, this bound is sharp, and we prove that the corresponding extremal graph is unique up to isomorphism." @default.
- W1988100400 created "2016-06-24" @default.
- W1988100400 creator A5084703474 @default.
- W1988100400 date "2000-07-01" @default.
- W1988100400 modified "2023-09-27" @default.
- W1988100400 title "On the structure of graphs with a unique k-factor" @default.
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- W1988100400 doi "https://doi.org/10.1016/s1571-0653(05)80160-x" @default.
- W1988100400 hasPublicationYear "2000" @default.
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