22 citations · 30 across the 4 of their papers we have counts for
4 papers
Constructive and analytic enumeration of circulant graphs with vertices;
Victoria Gatt, Mikhail Klin, Josef Lauri +1
Two methods, structural (constructive) and multiplier (analytical), of exact enumeration of undirected and directed circulant graphs of orders 27 and 125 are elaborated and represe…
A multivariate arithmetic function of combinatorial and topological significance
Valery A. Liskovets
We investigate properties of a multivariate function , called {\it orbicyclic}, that arises in enumerative combinatorics in counting non-isomorphic maps on orie…
More on counting acyclic digraphs
Valery A. Liskovets
In this note we derive enumerative formulas for several types of labelled acyclic directed graphs by slight modifications of the familiar recursive formula for simple acyclic digra…
Some identities for enumerators of circulant graphs
Valery A. Liskovets
We establish analytically several new identities connecting enumerators of different types of circulant graphs of prime, twice prime and prime-squared orders. In particular, it is…