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617  Articles
1 of 63 pages  |  10  records  |  more records»
Let G=(V,E)G=(V,E) be a graph. If GG is a König graph or if GG is a graph without 3-cycles and 5-cycles, we prove that the following conditions are equivalent: ?G\Delta_{G} is pure shellable, R/I?R/I_{\Delta} is Cohen-Macaulay, GG is unmixed vertex decomp... see more

The augmented Bergman complex of a closure operator on a finite set interpolates between the order complex of proper flats and the independence complex of the operator. In 2020, Braden, Huh, Matherne, Proudfoot, and Wang showed that augmented Bergman comp... see more

The augmented Bergman complex of a closure operator on a finite set interpolates between the order complex of proper flats and the independence complex of the operator. In 2020, Braden, Huh, Matherne, Proudfoot, and Wang showed that augmented Bergman comp... see more

A canoe paddle is a cycle attached to an end-vertex of a path. It was shown by Truszczynski that all canoe paddles are graceful and therefore decompose complete graphs. A kayak paddle is a pair of cycles joined by a path. We prove that the complete graph ... see more

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A distance vertex irregular total k-labeling of a simple undirected graph G = G(V, E), is a function f : V(G)?E(G)?{1, 2, …, k} such that for every pair vertices u, v ? V(G) and u ? v, the weights of u and ... see more

In this paper, the vertex-degree function index Hf(G) is considered when function f(x) belongs to four classes of functions determined by the following properties: strictly convex versus strictly concave and strictly increasing versus ... see more

The isomorphism problem of Cayley graphs has been well studied in the literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups. In this paper, we generalize these to vertex-transitive graphs and establish parallel results. Some interes... see more

1 of 63 pages  |  10  records  |  more records»