Integer Sequences

Counting Tournaments with a Specified Number of Circular Triads

We investigate the counting of tournaments with a specified number of circular triads ($3$-cycles). We derive the generating functions for the sequences of the counts, and give explicit expressions for the sequences for when the number of circular …

triad (on private)

Supports Circular Triad-Related Calculations

Number of $n$-node tournaments that have exactly $d$ circular triads