Results 31 to 40 of about 217,897 (268)

On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer [PDF]

open access: yes, 2016
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
core   +2 more sources

Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup

open access: yesInternational Journal of Analysis and Applications, 2023
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
doaj   +1 more source

Semi-Streaming Algorithms for Annotated Graph Streams [PDF]

open access: yes, 2015
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
core   +3 more sources

Topological Indices of Certain Transformed Chemical Structures

open access: yesJournal of Chemistry, 2020
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
doaj   +1 more source

Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices

open access: yesInternational Journal of Analysis and Applications, 2023
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
doaj   +1 more source

On the sum-connectivity index of cacti

open access: yesMathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Feiying, Deng, Hanyuan
openaire   +1 more source

Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

open access: yesAdvances in Materials Science and Engineering, 2019
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
doaj   +1 more source

Optimality of Orthogonal Access for One-dimensional Convex Cellular Networks [PDF]

open access: yes, 2013
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
core   +1 more source

On Sum--Connectivity Index of Bicyclic Graphs

open access: yes, 2009
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
openaire   +3 more sources

Sharp inequalities for the atom-bond (sum) connectivity index

open access: yesJournal of Mathematical Inequalities, 2023
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
openaire   +1 more source

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