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 ${\displaystyle n}$-cube”, in arXiv‎:

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