Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a ...

Several other problems about hamilton circles in infinite graphs have been proposed by Georgakopoulos: Conjecture 3 (Georgakopoulos): If G is a 4-edge-connected locally finite graph, then its line ...

We study two of the simple rules on finite graphs under the death—birth updating and the imitation updating discovered by Ohtsuki, Hauert, Lieberman and Nowak [Nature 441 (2006) 502–505]. Each rule ...