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- W136382611 abstract "Let us call a regular packing of Kn with Kk's a set of edge disjoint subgraphs of Kn isomorphic to Kk such that the partial graph G, called the leave of the packing, generated by the edges not covered is regular. Similarly, a regular covering of Kn with Kk's is a set of subgraphs of Kn isomorphic to Kk which cover all the edges of Kn at least once and such that the multigraph H, called the excess of the covering, obtained by deleting Km from the union of the Kk's, is regular. Here we study maximum regular packings and minimum regular coverings. More exactly we determine the minimum degrees of the leaves and excesses in case of regular packings and coverings of Kn with K3's and K4's. We also exhibit minimum regular coverings containing maximum regular packings." @default.
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- W136382611 date "1987-01-01" @default.
- W136382611 modified "2023-10-14" @default.
- W136382611 title "On regular packings and coverings" @default.
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- W136382611 doi "https://doi.org/10.1016/s0304-0208(08)72877-9" @default.
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