Spanning Trails with Maximum Degree at Most 4 in $$2K_2$$ 2 K 2 -Free Graphs-Reference-Cited by-同舟云学术

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Spanning Trails with Maximum Degree at Most 4 in $$2K_2$$ 2 K 2 -Free Graphs

Published:2017-06-21 Issue:5 Volume:33 Page:1095-1101
ISSN:0911-0119
Container-title:Graphs and Combinatorics
language:en
Short-container-title:Graphs and Combinatorics

Author:

Chen Guantao,Ellingham M. N.,Saito Akira,Shan Songling

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Link

http://link.springer.com/article/10.1007/s00373-017-1823-2/fulltext.html

Reference13 articles.

1. Bauer, D., Broersma, H.J., Veldman, H.J.: Not every 2-tough graph is Hamiltonian. In: Proceedings of the 5th Twente Workshop on Graphs and Combinatorial Optimization (Enschede, 1997), vol. 99, pp. 317–321 (2000)

2. Bauer, D., Broersma, H.J., Schmeichel, E.: Toughness in graphs—a survey. Graphs Combin. 22(1), 1–35 (2006)

3. Broersma, H., Patel, V., Pyatkin, A.: On toughness and Hamiltonicity of $$2K_2$$ 2 K 2 -free graphs. J. Graph Theory 75(3), 244–255 (2014)

4. Chung, F.R.K., Gyárfás, A., Tuza, Z., Trotter, W.T.: The maximum number of edges in $$2K_2$$ 2 K 2 -free graphs of bounded degree. Discrete Math. 81(2), 129–135 (1990)

5. Chvátal, V.: Tough graphs and Hamiltonian circuits. Discrete Math. 5, 215–228 (1973)

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