On a Conjecture Concerning the Petersen Graph: Part II Michael Plummer Xiaoya Zha DOI: https://doi.org/10.37236/2315 Keywords: Graph theory, Cycles, Connectivity, Petersen Graph Abstract Robertson conjectured that the only 3-connected, internally 4-connected graph of girth 5 in which every odd cycle of length greater than 5 has a chord is the Petersen graph. We provide a counterexample to this conjecture. PDF Published 2014-02-21 Issue Volume 21, Issue 1 (2014) Article Number P1.34