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Showing 2016 · math.COShow all
3 papers · 2 filters
math.CO2016★ 2 cited
Super-Walk Formulae for Even and Odd Laplacians in Finite Graphs
Chengzheng Yu
The number of walks from one vertex to another in a finite graph can be counted by the adjacency matrix. In this paper, we prove two theorems that connect the graph Laplacian with…
math.CO2016★ 8 cited
The diameter game
József Balogh, Ryan R. Martin, András Pluhár
A large class of Positional Games are defined on the complete graph on vertices. The players, Maker and Breaker, take the edges of the graph in turns, and Maker wins iff his su…
math.CO2016
Strengthening theorems of Dirac and Erdős on disjoint cycles
Henry A. Kierstead, Alexandr V. Kostochka, Andrew McConvey
Let be an integer, be the set of vertices of degree at least in a graph , and be the set of vertices of degree at most in . In 196…