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楼主: 母牛胆小鬼
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https://doi.org/10.1007/978-3-030-19007-1G(X) has the property C(p−1,1) if and only if G(X) is neither cyclic nor bipartite, which in turn, is equivalent to G(X) being hamilton-connected. Moreover, if G(X) is bipartite of order 2t but not cyclic, then G(X) has the property C(t−1,1) but not C(t,1). If G(X) is cyclic then it is not C(m,1) for any m.
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Cycles in abelian cayley graphs with a proscribed vertex,G(X) has the property C(p−1,1) if and only if G(X) is neither cyclic nor bipartite, which in turn, is equivalent to G(X) being hamilton-connected. Moreover, if G(X) is bipartite of order 2t but not cyclic, then G(X) has the property C(t−1,1) but not C(t,1). If G(X) is cyclic then it is not C(m,1) for any m.
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