The core of a complementary prism

Abstract The complementary prism $$\Gamma {\bar{\Gamma }}$$ Γ ¯ is constructed from the disjoint union of a graph $$ and its complement $${\bar{\Gamma if an edge added between each pair identical vertices in . It generalizes Petersen graph, which obtained pentagon. core investigated for arbitrary simple In particular, it shown that strongly regular self-complementary, then core, i.e. all endomorphisms are automorphisms.