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math.CO2017★ 1 cited
Inverting non-invertible trees
Soňa Pavlíková, Jozef Širáň
If a graph has a non-singular adjacency matrix, then one may use the inverse matrix to define a (labeled) graph that may be considered to be the inverse graph to the original one.…
math.CO2007★ 2 cited
The diameter of random Cayley digraphs of given degree
Primož Potočnik, Jozef Širáň, Jana Šiagiová +2
We consider random Cayley digraphs of order with uniformly distributed generating set of size . Specifically, we are interested in the asymptotics of the probability such a…