DEGREE DISTANCE INDEX OF THE MYCIELSKIAN AND ITS COMPLEMENT

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BEHTOEI ALI; ANBARLOEI MAHDI

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Journal: Iranian Journal of Mathematical Chemistry Year:2016 | Volume:7 | Issue:1 Page(s): 1-9

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Information Journal Paper

Title

DEGREE DISTANCE INDEX OF THE MYCIELSKIAN AND ITS COMPLEMENT

Author(s)

BEHTOEI ALI | ANBARLOEI MAHDI | Issue Writer Certificate

Keywords

DEGREE DISTANCEQ2

ZAGREB INDICESQ2

MYCIELSKIANQ2

Abstract

Let G be a finite connected simple graph. The DEGREE DISTANCE index DD (G) of G is defined as å {u, v}ÍV (G)dG (u, v) (deg G (u) + deg G (v)), where deg G (u) is the degree of vertexu in G and dG (u, v) is the distance between two vertices u and v in G. In this paper, we determine the DEGREE DISTANCE of the complement of arbitrary MYCIELSKIAN graphs. It is well known that almost all graphs have diameter two. We determine this graphical invariant for the MYCIELSKIAN of graphs with diameter two.

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APA: Copy

BEHTOEI, ALI, & ANBARLOEI, MAHDI. (2016). DEGREE DISTANCE INDEX OF THE MYCIELSKIAN AND ITS COMPLEMENT. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 7(1), 1-9. SID. https://sid.ir/paper/205527/en

Vancouver: Copy

BEHTOEI ALI, ANBARLOEI MAHDI. DEGREE DISTANCE INDEX OF THE MYCIELSKIAN AND ITS COMPLEMENT. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2016;7(1):1-9. Available from: https://sid.ir/paper/205527/en

IEEE: Copy

ALI BEHTOEI, and MAHDI ANBARLOEI, “DEGREE DISTANCE INDEX OF THE MYCIELSKIAN AND ITS COMPLEMENT,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 7, no. 1, pp. 1–9, 2016, [Online]. Available: https://sid.ir/paper/205527/en

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