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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.30 No.4
- 발행연도
- 2020.1
- 수록면
- 479 - 494 (16page)
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초록· 키워드
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Topological graph indices are proven to be one of the most useful mathematical tools in the study of graphs, especially molecular graphs. Probably the most famous one is the Wiener index which was primarily used in determining the boiling points of the isomers of alkane molecules. The Wiener polynomial of G, denoted by W(G; q) is de ned by W(G; q) = P fu;vg V (G) qd(u;v) where d(u; v) is the distance between the vertices u and v. The Wiener index W(G), a distance based graph invariant, is given by W(G) = P fu;vg V (G) d(u; v). In this paper, mo- tivated by the above facts, the Wiener polynomial and Wiener index of transformation graph G+++ are determined when G is isomorphic to Pn; Cn; K1;n; Kn; Wn+1, the comb and nally the tadpole graph. We have also determined the Wiener polynomial and Wiener index of trans- formation graphs Gxyz of G when G isomorphic to Pn and Cn. Finally, the formula for W(G++; q) is given.
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참고문헌 (8)
참고문헌 신청
B. E. Sagan / 1996 / The Wiener polynomial of a graph / International Journal of Quantum Chemistry 60:959~969
H. Hosoya / 1988 / On some counting polynomials in chemistry / Discr. Appl. Math 19:239~257
O. A. Abu Ghneim / 2007 / Wiener Polynomial of the kth Power Graph / International Journal of Mathematics and Mathematical Sciences
H. Mohamadinezhadarashti / 2010 / Some New Results On the Hosoya Poly-nomial of Graph Operations / Iranian Journal of Mathematical Chemistry 1(2):37~43
B. Wu / 2001 / Basic properties of total transformation graphs / J. Math. Study 34(2):109~116
H. Hosoya / 1988 / On some counting polynomials in chemistry / Discr. Appl. Math 19:239~257
O. A. Abu Ghneim / 2007 / Wiener Polynomial of the kth Power Graph / International Journal of Mathematics and Mathematical Sciences
H. Mohamadinezhadarashti / 2010 / Some New Results On the Hosoya Poly-nomial of Graph Operations / Iranian Journal of Mathematical Chemistry 1(2):37~43
B. Wu / 2001 / Basic properties of total transformation graphs / J. Math. Study 34(2):109~116
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