Israel Journal of Mathematics

, Volume 22, Issue 1, pp 52–56 | Cite as

Hamiltonian circuits in polytopes with even sided faces

  • P. R. Goodey


It has been conjectured that ifP is a simple 3-polytope all of whose faces have an even number of sides, thenP has a Hamiltonian circuit. In this paper it is shown that, if all the faces ofP are either quadrilaterals or hexagons, thenP does have a Hamiltonian circuit.


Discrete Math Common Vertex Common Edge Adjacent Edge Infinite Family 
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Copyright information

© The Weizmann Science Press of Israel 1975

Authors and Affiliations

  • P. R. Goodey
    • 1
  1. 1.Department of MathematicsRoyal Holloway CollegeEnglefield GreenEngland

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