### Approximation theory

### Daghestan Electronic Mathematical Reports: Issue 16 (2021)

# Computational algorithm for enumerating graphs of a given order

### UDK: 519.178

### Pages: 1 - 15

### DOI: 10.31029/demr.16.1

For a given set $M$ of bigraphs of a given order, an algorithm is developed for constructing a set of representatives of the isomorphism classes of $M$.
The algorithm is designed as a function defined in terms of nested loops; each set of values of the cycle counters ("indexer") defines an isomorphism class whose representative is assigned to the indexer.

**Keywords: **
enumeration, bipartite graph, isomorphism, program, calculations.