Results 11 to 20 of about 4,569,509 (132)
Degree-Based Topological Indices of Generalized Subdivision Double-Corona Product
Journal of Chemistry, 2022 Graph operations play an important role in constructing complex network structures from simple graphs. Computation of topological indices of these complex structures via graph products is an important task.
Ying Wang +5 more
doaj +3 more sources
On the Maximum and Minimum First Reformulated Zagreb Index of Graphs With Connectivity at Most k
Filomat, 2011 The authors Milicevic et al. introduced the reformulated Zagreb indices [1], which is a generalization of classical Zagreb indices of chemical graph theory. In this paper, we mainly consider the maximum and minimum for the first reformulated index of graphs with connectivity at most k. The corresponding extremal graphs are characterized.
Liming Xiong, Guifu Su
exaly +5 more sources
Retracted: On the Reformulated Second Zagreb Index of Graph Operations
Journal of Chemistry, 2023 Journal of Chemistry, Volume 2023, Issue 1, 2023.
Journal of Chemistry
doaj +3 more sources
Reformulated F-index of graph operations
Communications in Combinatorics and Optimization, 2017 The first general Zagreb index is defined as $M_1^\lambda(G)=\sum_{v\in V(G)}d_{G}(v)^\lambda$ where $\lambda\in \mathbb{R}-\{0,1\}$. The case $\lambda=3$, is called F-index.
Hamideh Aram, Nasrin Dehgardi
doaj +2 more sources
On the indices of certain graph products [PDF]
Transactions on CombinatoricsMolecular descriptors are numerical graph invariants that are used to study the chemical structure of molecules. In this paper, we determine the upper bound of the Sombor index based on four operations involving the subdivision graph, semi-total point ...
Ishita Sarkar, Manjunath Nanjappa
doaj +3 more sources
About the Zagreb Indices [PDF]
Kemija u Industriji, 2010 The original Zagreb indices and some of their variants, such as the modified Zagreb indices, variable Zagreb indices, reformulated original Zagreb indices, reformulated modified Zagreb indices, Zagreb indices as complexity indices, general Zagreb indices,
Gutman, I. +3 more
doaj +3 more sources
On the Inverse Problem for Some Topological Indices
Journal of Mathematics, 2021 The study of the inverse problem (IP) based on the topological indices (TIs) deals with the numerical relations to TIs. Mathematically, the IP can be expressed as follows: given a graph parameter/TI that assigns a non-negative integer value g to every ...
Durbar Maji +3 more
doaj +2 more sources
The Extremal Graphs of Some Topological Indices with Given Vertex k-Partiteness
Mathematics, 2018 The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index,
Fang Gao +3 more
doaj +2 more sources
The Reformulated First Zagreb Index Of The Line Graphs Of The Subdivision Graph For Class Of Graphs
, 2016 The reformulated first Zagreb index is the edge version of first Zagreb index of chemical graph theory. The aim of this paper is to obtain an expression for the reformulated first Zagreb index of the some class of graphs such as Tadpole graph, Wheel graph, Ladder graph.
Keerthi G. Mirajkar*, Bhagyashri R. Doddamani, Priyanka Y. B
openaire +2 more sources
Extremal Trees With Respect to the First and Second Reformulated Zagreb Index
Malaya Journal of Matematik, 2017 Let $G$ be a graph with edge set $E(G)$. The first and second reformulated Zagreb indices of $G$ are defined as $E M_1(G)=\sum_{e \in E(G)} \operatorname{deg}(e)^2$ and $E M_2(G)=\sum_{e \sim f} \operatorname{deg}(e) \operatorname{deg}(f)$,respectively, where $\operatorname{deg}(e)$ denotes the degree of the edge $e$, and $e \sim f$ means that the ...
Ali Reza Ashrafi, Ali Ghalavand
exaly +2 more sources