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Some sufficient conditions for 4-regular graphs to have 3-regular subgraphs

  • Graphs and Codes
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Algebraic Coding (Algebraic Coding 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 781))

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Abstract

We are interested in the following problem: when would a 4-regular graph (with multiple edges) have a 3-regular subgraph. We give several sufficient conditions for 4-regular graph to have a 3-regular subgraph.

Work partially supported by NSF Grants RII-9014056, the Component IV of the EPSCoR of Puerto Rico Grant, U.S. Army Center of Excellence for Symbolic Methods in Algorithmic Mathematics (ACSyAM), of Cornell MSI. Contract DAAL03-91-C-0027, and the Office of Naval Research under grant number N00014-90-F-1301.

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References

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G. Cohen S. Litsyn A. Lobstein G. Zémor

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© 1994 Springer-Verlag Berlin Heidelberg

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Moreno, O., Zinoviev, V.A. (1994). Some sufficient conditions for 4-regular graphs to have 3-regular subgraphs. In: Cohen, G., Litsyn, S., Lobstein, A., Zémor, G. (eds) Algebraic Coding. Algebraic Coding 1993. Lecture Notes in Computer Science, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57843-9_18

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  • DOI: https://doi.org/10.1007/3-540-57843-9_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57843-7

  • Online ISBN: 978-3-540-48357-1

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