Collapsible graph Locally connected graphs Locally k-edge-connected a b s t r a c t Given two nonnegative integers s and t, a graph G is (s, t)-supereulerian if for any disjoint sets X , Y ⊂ E(G) with |X| ≤ s and |Y | ≤ t, there is a spanning eulerian subgraph H of G that contains X and avoids Y. We prove that if G is connected and locally k-edge-connected,… (More)
In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain a uniqueness theorem which improves those given and others. Some examples are provided to show that the results in this paper are best possible.
In this paper, we study a uniqueness question of meromorphic functions whose nonlinear differential polynomials share a nonzero small function. The results in this paper improve and extend many known results.
In this paper, we deal with a uniqueness theorem of two non-constant meromorphic functions that share three values and one pair of polynomials. The results in this paper improve those given by G. G. Gun-dersen, G. Brosch and other authors.