THE MERRIFIELD-SIMMONS INDICES AND HOSOYA INDICES OF SOME CLASSES OF CARTESIAN GRAPH PRODUCT

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SABZEVARI M.; MEYMANI H.R.

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ISSN: 2588-4824

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2008 | Volume:3 | Issue:1 Page(s): 41-48

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Title

THE MERRIFIELD-SIMMONS INDICES AND HOSOYA INDICES OF SOME CLASSES OF CARTESIAN GRAPH PRODUCT

Author(s)

SABZEVARI M. | MEYMANI H.R. | Issue Writer Certificate

Keywords

MERRIFIELD-SIMMONS INDEX

HOSOYA INDEX

CARTESIAN GRAPH PRODUCT

LADDER GRAPH

PRISM GRAPH

Abstract

The MERRIFIELD-SIMMONS INDEX of a graph is defined as the total number of the independent sets of the graph and the HOSOYA INDEX of a graph is defined as the total number of the matchings of the graph. In this paper, we give formula for Merrifield-Simmons and Hosoya indices of some classes of cartesian product of two graphs K2×H, where H is a path graph Pn, cyclic graph Cn, or star graph Sn, with n vertices (These are called: LADDER GRAPH, PRISM GRAPH, and book graph).

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APA: Copy

SABZEVARI, M., & MEYMANI, H.R.. (2008). THE MERRIFIELD-SIMMONS INDICES AND HOSOYA INDICES OF SOME CLASSES OF CARTESIAN GRAPH PRODUCT. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 3(1), 41-48. SID. https://sid.ir/paper/310266/en

Vancouver: Copy

SABZEVARI M., MEYMANI H.R.. THE MERRIFIELD-SIMMONS INDICES AND HOSOYA INDICES OF SOME CLASSES OF CARTESIAN GRAPH PRODUCT. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2008;3(1):41-48. Available from: https://sid.ir/paper/310266/en

IEEE: Copy

M. SABZEVARI, and H.R. MEYMANI, “THE MERRIFIELD-SIMMONS INDICES AND HOSOYA INDICES OF SOME CLASSES OF CARTESIAN GRAPH PRODUCT,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 3, no. 1, pp. 41–48, 2008, [Online]. Available: https://sid.ir/paper/310266/en

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