The hyper-Zagreb index and some graph operations
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DOI: 10.1007/s12190-016-1008-9
Abstract: Let G be a simple connected graph. The Hyper-Zagreb index is defined as $$\textit{HM}(G)=\sum _{uv\in E_{G}}(d_{G}(u)+d_{G}(v))^2$$HM(G)=∑uv∈EG(dG(u)+dG(v))2. In this paper some exact expressions for the hyper-Zagreb index of graph operations containing cartesian product and join of… read more here.
Keywords: hyper zagreb; zagreb index; index graph;
On the reduced second Zagreb index of trees
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DOI: 10.1142/s179355711750084x
Abstract: The current note is devoted to investigate the trees, which maximize or minimize the reduced second Zagreb index among all n-vertex trees with fixed number of segments. This note also involves development of some results,… read more here.
Keywords: reduced second; index; second zagreb; zagreb index ... See more keywords
Analysis of Zagreb indices over zero-divisor graphs of commutative rings
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DOI: 10.1142/s1793557120400033
Abstract: In this paper, first Zagreb index, second Zagreb index, first multiplicative Zagreb index, second multiplicative Zagreb index, first Zagreb coindices index, second Zagreb coindices index, first multiplicative Zagreb coindices index, second multiplicative Zagreb coindices index… read more here.
Keywords: zagreb index; zagreb; zagreb coindices; multiplicative zagreb ... See more keywords
Assessing Graph Robustness through Modified Zagreb Index
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DOI: 10.3390/axioms11090484
Abstract: Graph robustness or network robustness is the ability that a graph or a network preserves its connectivity or other properties after the loss of vertices and edges, which has been a central problem in the… read more here.
Keywords: graph robustness; modified zagreb; zagreb index;
First Entire Zagreb Index of Fuzzy Graph and Its Application
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DOI: 10.3390/axioms12050415
Abstract: The first entire Zagreb index (FEZI) is a graph parameter that has proven to be essential in various real-life scenarios, such as networking businesses and traffic management on roads. In this research paper, the FEZI… read more here.
Keywords: fuzzy graphs; entire zagreb; zagreb index; first entire ... See more keywords
Sharp Bounds on the Generalized Multiplicative First Zagreb Index of Graphs with Application to QSPR Modeling
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DOI: 10.3390/math11102245
Abstract: Degree sequence measurements on graphs have attracted a lot of research interest in recent decades. Multiplying the degrees of adjacent vertices in graph Ω provides the multiplicative first Zagreb index of a graph. In the… read more here.
Keywords: first zagreb; zagreb index; generalized multiplicative; multiplicative first ... See more keywords
The upper bounds for multiplicative sum Zagreb index of some graph operations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-2017-11-59
Abstract: Let G be a simple graph with vertex set V(G) and edge set E(G). In [7], Eliasi et al. introduced the multiplicative sum Zagreb index of a graph G which is denoted by Π1(G) and… read more here.
Keywords: zagreb index; product; multiplicative sum; sum zagreb ... See more keywords