Results 31 to 40 of about 1,059 (263)
On the Difference Between the Eccentric Connectivity Index and Eccentric Distance Sum of Graphs [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 The eccentric connectivity index of a graph $G$ is $ξ^c(G) = \sum_{v \in V(G)}\varepsilon(v)°(v)$, and the eccentric distance sum is $ξ^d(G) = \sum_{v \in V(G)}\varepsilon(v)D(v)$, where $\varepsilon(v)$ is the eccentricity of $v$, and $D(v)$ the sum of distances between $v$ and the other vertices.
Yaser Alizadeh, Sandi Klavžar
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The eccentric connectivity index of armchair polyhex nanotubes
Macedonian Journal of Chemistry and Chemical Engineering, 2010 The eccentric connectivity index ξ(G) of the graph G is defined as ξ(G) = Σu∈V(G) deg(u)ε(u) where deg(u) denotes the degree of vertex u and ε(u) is the largest distance between u and any other vertex v of G.
Mahboubeh Saheli, Ali Reza Ashrafi
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Two Degree Distance Based Topological Indices of Chemical Trees
IEEE Access, 2019 Let G = (VG, EG) be a simple and connected graph. The eccentric connectivity index of G is represented as ξc(G) = Σx∈VG degG(x)ecG(x), where degG(x) and ecG(x) represent the degree and the eccentricity of x, respectively.
Shehnaz Akhter
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Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks
Journal of Chemistry, 2020 In a connected graph G with a vertex v, the eccentricity εv of v is the distance between v and a vertex farthest from v in the graph G. Among eccentricity-based topological indices, the eccentric connectivity index, the total eccentricity index, and the ...
Muhammad Imran +5 more
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Eccentricity-Based Topological Invariants of Dominating David-Derived Networks
Journal of Chemistry, 2021 A topological index is a numerical descriptor of the molecular structure based on certain topological features of the corresponding molecular graph. Topological indices are scientific contemplations of a graph that outline its subatomic topology and are ...
Muhammad Imran +2 more
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Eccentricity-Based Topological Invariants of Some Chemical Graphs
Atoms, 2019 Topological index is an invariant of molecular graphs which correlates the structure with different physical and chemical invariants of the compound like boiling point, chemical reactivity, stability, Kovat’s constant etc.
Nazeran Idrees +2 more
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Eccentric topological properties of a graph associated to a finite dimensional vector space
Main Group Metal Chemistry, 2020 A topological index is actually designed by transforming a chemical structure into a number. Topological index is a graph invariant which characterizes the topology of the graph and remains invariant under graph automorphism.
Liu Jia-Bao +5 more
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Meitan xuebao, 2023 The coupling failure induced by the influence of mining practice and the water immersion softening of the water-resisting coal pillars in old goaf is one of the common causes of water inrush accidents in the same seam working face.
Zhu LI +5 more
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Bounds for the modified eccentric connectivity index
CoRR, 2014 The modified eccentric connectivity index of a graph is defined as the sum of the products of eccentricity with the total degree of neighboring vertices, over all vertices of the graph. This is a generalization of eccentric connectivity index. In this paper, we derive some upper and lower bounds for the modified eccentric connectivity index in terms of
Nilanjan De +2 more
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Eccentric connectivity index in transformation graph Gxy+
Acta Universitatis Sapientiae, Informatica, 2023 Abstract Let G be a connected graph with vertex set V(G)and edge set E(G). The eccentric connectivity index of G is defined as ∑
Aytaç, Aysun, Vatansever, Belgin
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