Abstract
In this paper we establish the validity of Berge’s Conjecture that every 4-regular simple graph has a 3-regular subgraph, for graphs with diameter 2.
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References
J.A. Bondy and U.S.R. Murty, Graph Theory with Applications, The Macmillan Press Ltd., 1976.
V. Chvátal, H. Fleishner, J. Seehan and C. Thomassen, Three-regular subgraphs of four-regular graphs, Journal of Graph Theory, Vol. 3, 4 (1979), 371–386.
F. Harary, Graph Theory, Addison-Wesley, Reading, 1969.
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© 1981 Springer-Verlag
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Parthasarathy, K.R., Sridharan, S. (1981). On the (4–3)-regular subgraph conjecture. In: Rao, S.B. (eds) Combinatorics and Graph Theory. Lecture Notes in Mathematics, vol 885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092283
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DOI: https://doi.org/10.1007/BFb0092283
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