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- W2410059687 abstract "Jaeger et al.’s Z3-connectivity conjecture can be reduced to a consideration of 5-edge-connected K1,3-free graphs by Lovász et al. (2013) and Ma et al. (2014). Let K1,3+ denote the graph obtained from K1,3 by adding an edge connecting two vertices of degree 1. Denote by K1,3∗ the graph obtained from a K1,3+ by adding an edge to one vertex of degree 1. In this paper, we will prove the following two results. (1) If G is a 2-connected {K1,3,K1,3+}-free simple graph, then G is Z3-connected if and only if G is not one of K4, K4− or an n-cycle, where n≥3. (2) If G is a 2-connected {K1,3,K1,3∗}-free simple graph, then G is not Z3-connected if and only if G is isomorphic to one of the 20 specified graphs or G is an n-cycle, where n≥3." @default.
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- W2410059687 date "2016-09-01" @default.
- W2410059687 modified "2023-10-16" @default.
- W2410059687 title "Nowhere-zero 3-flows and Z3-connectivity of graphs without two forbidden subgraphs" @default.
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- W2410059687 doi "https://doi.org/10.1016/j.disc.2016.03.010" @default.
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