On the Strongest Form of a Theorem of Whitney for Hamiltonian Cycles in Plane Triangulations-Reference-Cited by-同舟云学术

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On the Strongest Form of a Theorem of Whitney for Hamiltonian Cycles in Plane Triangulations

Published:2015-08-28 Issue:1 Volume:83 Page:78-91
ISSN:0364-9024
Container-title:Journal of Graph Theory
language:en
Short-container-title:J. Graph Theory

Author:

Brinkmann Gunnar¹,Souffriau Jasper²,Van Cleemput Nico³

Affiliation:

1. DEPARTMENT OF APPLIED MATHEMATICS; COMPUTER SCIENCE AND STATISTICS, GHENT UNIVERSITY; GHENT BELGIUM

2. DEPARTMENT OF INDUSTRIAL MANAGEMENT; GHENT UNIVERSITY; GHENT BELGIUM

3. DEPARTMENT OF MATHEMATICS; UNIVERSITY OF WEST BOHEMIA; PLZEŇ CZECH REPUBLIC

Funder

European Social Fund

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/jgt.21915/fullpdf

Reference8 articles.

1. On the minimal number of separating 3-cycles in non-hamiltonian maximal planar graphs;Böhme;Tatra Mountains Math Publ,1996

2. House of graphs: a database of interesting graphs;Brinkmann;Discrete Appl Math,2013

3. Fast generation of planar graphs;Brinkmann;MATCH Commun Math Comput Chem,2007

4. Any maximal planar graph with only one separating triangle is hamiltonian;Chen;J Comb Optim,2003

5. Tough graphs and hamiltonian circuits;Chvátal;Discrete Math,1973

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hamiltonicity of Graphs on Surfaces in Terms of Toughness and Scattering Number – A Survey;Discrete and Computational Geometry, Graphs, and Games;2021

2. Types of triangle in Hamiltonian triangulations and an application to domination and k-walks;Ars Mathematica Contemporanea;2019-06-19

3. Hamiltonian properties of polyhedra with few 3-cuts—A survey;Discrete Mathematics;2018-09

4. On the number of hamiltonian cycles in triangulations with few separating triangles;Journal of Graph Theory;2017-05-24

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