Pancyclicity in claw-free graphs Original Research Article

In this paper, we present several conditions for K1,3-free graphs, which guarantee the graph is subpancyclic. In particular, we show that every K1,3-free graph with a minimum degree sum δ2>23n+1−4; every {K1,3,P7}-free graph with δ2⩾9; every {K1,3,Z4}-free graph with δ2⩾9; and every K1,3-free graph with maximum degree Δ, diam(G)<(Δ+6)/4 and δ2⩾9 is subpancyclic.