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math.CO2020
Counterexamples to a conjecture of Merker on 3-connected cubic planar graphs with a large cycle spectrum gap
Carol T. Zamfirescu
Merker conjectured that if is an integer and a 3-connected cubic planar graph of circumference at least , then the set of cycle lengths of must contain at leas…
math.CO2020★ 2 cited
Hamiltonian cycles and 1-factors in 5-regular graphs
Nico Van Cleemput, Carol T. Zamfirescu
It is proven that for any integer and , there exist infinitely many 5-regular graphs of genus containing a 1-factorisation with exactly …