On a conjecture on maximal planar sequences

Stefano Fanelli · Journal of Graph Theory · 1980

Abstract Let d 1 d 2 d p denote the nonincreasing sequence d1, …, d1, d2, …, d2, …, dp, …, dp, where the term di appears ki times (i = 1, 2, …, p). In this work the author proves that the maximal 2‐sequences: 7361515, 7561517, 7761519 are planar graphical, in contrast to a conjecture by Schmeichel and Hakimi.

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