rectagraph

English

Etymology

Blend of rectangle +‎ graph

Noun

rectagraph (plural rectagraphs)

1. (graph theory) A triangle-free connected graph where any two vertices have 0 or 2 common neighbors.
   • 2015, Joanna B. Fawcett, “Locally triangular graphs and normal quotients of the $n$-cube”, in arXiv‎^[1]:

     Such graphs are known to be halved graphs of bipartite rectagraphs, which are connected triangle-free graphs in which every $2$-path lies in a unique quadrangle.