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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 61 - 74 (14page)
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Let G = (V, E) be a connected graph. The eccentric connectivity index of G is defined by ξC (G) = ∑u∈V (G) deg(u)e(u), where deg(u) and e(u) denote the degree and eccentricity of the vertex u in G, respectively. In this paper, we introduce a new formulation of ξC that will be called the distance eccentric connectivity index of G and defined by ξDe(G) = ∑u∈V (G) degDe(u)e(u) where degDe(u) denotes the distance eccentricity degree of the vertex u in G. The aim of this paper is to introduce and study this new topological index. The values of the eccentric connectivity index is calculated for some fundamental graph classes and also for some graph operations. Some inequalities giving upper and lower bounds for this index are obtained.
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참고문헌 (24)
참고문헌 신청
N. Akgunes / 2013 / Some properties on the lexicographic product of graphs obtained by monogenic semigroups / J. Inequal. Appl 2013(238):9
A. Alqesmah / 2017 / On the distance eccentricity Zagreb indices of graphs / International J. Math. Combin 4:110~120
A. R. Ashrafi / 2011 / The eccentric connectivity index of T UC4C8(R)nanotubes / MATCH Commun. Math. Comput. Chem 65(1):221~230
A. R. Ashrafi / 2011 / The eccentric connectivity index of nanotubes and nanotori / J. Comput. Appl. Math 235(16):4561~4566
A. T. Balaban / 1982 / Highly discriminating distance-based topological index / Chem. Phys. Lett 89(5):399~404
A. Alqesmah / 2017 / On the distance eccentricity Zagreb indices of graphs / International J. Math. Combin 4:110~120
A. R. Ashrafi / 2011 / The eccentric connectivity index of T UC4C8(R)nanotubes / MATCH Commun. Math. Comput. Chem 65(1):221~230
A. R. Ashrafi / 2011 / The eccentric connectivity index of nanotubes and nanotori / J. Comput. Appl. Math 235(16):4561~4566
A. T. Balaban / 1982 / Highly discriminating distance-based topological index / Chem. Phys. Lett 89(5):399~404
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