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- W2293301119 abstract "Graph Theory Let Ck denote a cycle of length k and let Sk denote a star with k edges. For multigraphs F, G and H, an (F,G)-decomposition of H is an edge decomposition of H into copies of F and G using at least one of each. For L⊆H and R⊆rH, an (F,G)-packing (resp. (F,G)-covering) of H with leave L (resp. padding R) is an (F,G)-decomposition of H-E(L) (resp. H+E(R)). An (F,G)-packing (resp. (F,G)-covering) of H with the largest (resp. smallest) cardinality is a maximum (F,G)-packing (resp. minimum (F,G)-covering), and its cardinality is referred to as the (F,G)-packing number (resp. (F,G)-covering number) of H. In this paper, we determine the packing number and the covering number of λKn,n with Ck's and Sk's for any λ, n and k, and give the complete solution of the maximum packing and the minimum covering of λKn,n with 4-cycles and 4-stars for any λ and n with all possible leaves and paddings." @default.
- W2293301119 created "2016-06-24" @default.
- W2293301119 creator A5034651930 @default.
- W2293301119 date "2014-09-25" @default.
- W2293301119 modified "2023-09-25" @default.
- W2293301119 title "Packing and covering the balanced complete bipartite multigraph with cycles and stars" @default.
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- W2293301119 doi "https://doi.org/10.46298/dmtcs.2091" @default.
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