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- W2779427255 abstract "Orthogonal factorizations in graphs or networks have a wide range of applications in combinatorial design, network design, circuit layout, and so on. We investigate the problem on orthogonal factorizations in graphs or networks. Let G be a digraph. Its vertex set and arc set are denoted by V(G) and E(G), respectively. Let f=(f−,f+) be a pair of nonnegative integer-valued functions defined on V(G). Let H1,H2,⋯,Hr be r vertex disjoint mk-subdigraphs of G. In this paper, it is verified that every (0,mf−m+1)-digraph admits a (0,f)-factorization k-orthogonal to each Hi (i=1,2,⋯,r) if f(x)≥(2r+1)k−2 for any x∈V(G), which is a generalization of Zhou's previous result." @default.
- W2779427255 created "2018-01-05" @default.
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- W2779427255 date "2018-04-01" @default.
- W2779427255 modified "2023-10-10" @default.
- W2779427255 title "A generalization of orthogonal factorizations in digraphs" @default.
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- W2779427255 doi "https://doi.org/10.1016/j.ipl.2017.12.003" @default.
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