Hamilton-Connectedness of Some Cubic 3-connected Plane Graph

Authors

  • Adthasit Sinna Department of Mathematics, Faculty of Science, Ramkhamhaeng University

Keywords:

Hamilton-connected, plane graph

Abstract

We define a pupa graph equation   which is a cubic 3-connected plane graph. In this paper, we show that a pupa graph is hamilton-connected if  equation , both k and  l are even, equation  is odd, and equation  for every  equation .

References

Barnette D (1969) Conjecture 5. In Tutte WT (ed.) Recent Progress in Combinatorics. Academic Press, New York, pp 343

Tait PG (1884) Listing´s topologie. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 17: 30–46

Tutte WT(1946) On Hamiltonian circuits. Journal of the London Mathematical Society 21 : 98–101

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Published

2025-12-31

Issue

Vol. 8 No. 3 (2025): September- December

Section

Original Articles

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