PERFECT MATCHINGS IN EDGE-TRANSITIVE GRAPHS

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MARANDI A.; NEJAH A.H.; BEHMARAM A.

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Journal: Iranian Journal of Mathematical Chemistry Year:2014 | Volume:5 | Issue:1 (SUPPLEMENT) Page(s): 27-33

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Information Journal Paper

Title

PERFECT MATCHINGS IN EDGE-TRANSITIVE GRAPHS

Author(s)

MARANDI A. | NEJAH A.H. | BEHMARAM A. | Issue Writer Certificate

Keywords

PERFECT MATCHINGQ2

EDGE-TRANSITIVE GRAPHQ2

Abstract

We find recursive formulae for the number of PERFECT MATCHINGs in a graph G by splitting G into subgraphs H and Q. We use these formulas to count PERFECT MATCHING of P hypercube Qn. We also apply our formulas to prove that the number of PERFECT MATCHING in an EDGE-TRANSITIVE GRAPH is Pm(G)=(2q/p)Pm(G\{u, n})where Pm(G) denotes the number of PERFECT MATCHINGs in G, G\{ u, n} is the graph constructed from G by deleting edges with an end vertex in {u, n} and unÎE(G).

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APA: Copy

MARANDI, A., NEJAH, A.H., & BEHMARAM, A.. (2014). PERFECT MATCHINGS IN EDGE-TRANSITIVE GRAPHS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 5(1 (SUPPLEMENT)), 27-33. SID. https://sid.ir/paper/205541/en

Vancouver: Copy

MARANDI A., NEJAH A.H., BEHMARAM A.. PERFECT MATCHINGS IN EDGE-TRANSITIVE GRAPHS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2014;5(1 (SUPPLEMENT)):27-33. Available from: https://sid.ir/paper/205541/en

IEEE: Copy

A. MARANDI, A.H. NEJAH, and A. BEHMARAM, “PERFECT MATCHINGS IN EDGE-TRANSITIVE GRAPHS,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 5, no. 1 (SUPPLEMENT), pp. 27–33, 2014, [Online]. Available: https://sid.ir/paper/205541/en

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