Results 31 to 40 of about 217,897 (268)
On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer [PDF]
The eccentric connectivity index \(\xi ^c(G)\) of a connected graph G is defined as \(\xi ^c(G) =\sum _{v \in V(G)}{deg(v) e(v)},\) where deg( v) is the degree of vertex v and e( v) is the eccentricity of v. The eccentric graph, \(G_e\), of a graph G has
Nagar, Atulya, Sastha, Sriram
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Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup
This field’s main feature is to implement the sum connectivity index method. This sum connectivity index method can solve the monogenic semigroups under the cartesian and strong products.
R. Rajadurai, G. Sheeja
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Semi-Streaming Algorithms for Annotated Graph Streams [PDF]
Considerable effort has been devoted to the development of streaming algorithms for analyzing massive graphs. Unfortunately, many results have been negative, establishing that a wide variety of problems require $\Omega(n^2)$ space to solve.
Thaler, Justin
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Topological Indices of Certain Transformed Chemical Structures
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum-connectivity index, and atom-bond connectivity index are employed to calculate the bioactivity ...
Xuewu Zuo +4 more
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Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices
A real-number to molecular structure mapping is a topological index. It is a graph invariant method for describing physico-chemical properties of molecular structures specific substances. In that article, We examined pentacene’s chemical composition. The
Mukhtar Ahmad +5 more
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On the sum-connectivity index of cacti
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Ma, Feiying, Deng, Hanyuan
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Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7
In this paper, we computed the topological indices of pent-heptagonal nanosheet. Formulas for atom-bond connectivity index, fourth atom-bond connectivity index, Randić connectivity index, sum-connectivity index, first Zagreb index, second Zagreb index ...
Fei Deng +4 more
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Optimality of Orthogonal Access for One-dimensional Convex Cellular Networks [PDF]
It is shown that a greedy orthogonal access scheme achieves the sum degrees of freedom of all one-dimensional (all nodes placed along a straight line) convex cellular networks (where cells are convex regions) when no channel knowledge is available at the
Jafar, Syed A., Maleki, Hamed
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On Sum--Connectivity Index of Bicyclic Graphs
We determine the minimum sum--connectivity index of bicyclic graphs with $n$ vertices and matching number $m$, where $2\le m\le \lfloor\frac{n}{2}\rfloor$, the minimum and the second minimum, as well as the maximum and the second maximum sum--connectivity indices of bicyclic graphs with $n\ge 5$ vertices. The extremal graphs are characterized.
Du, Zhibin, Zhou, Bo
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Sharp inequalities for the atom-bond (sum) connectivity index
For a graph \(G\), the atom-bond connectivity (ABC) index (respectively, atom-bond sum connectivity (ABS) index) of \(G\) is defined as the sum of the numbers \(\sqrt{\frac{d_i +d_j-2} {d_id_j}}\) (respectively, \(\sqrt{\frac{d_i +d_j -2} {d_i + d_j}}\) ) over all the unordered pairs \(\{v_i,v_j\}\) of adjacent vertices of \(G\), where \(d_i\) and ...
Ali, Akbar +3 more
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