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Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs

Computational and Applied Mathematics
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Kinkar Chandra Das   +2 more
openaire   +1 more source

Further Results on the Augmented Zagreb Index

Abstract: The augmented Zagreb index of a simple connected graph  is defined as , where  is the degree of vertex  in . A connected graph  is called a quasi-tree graph if there exists a vertex  such that  is a tree. A connected graph  is a cactus if any two of its cycles have at most one common vertex.
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The Augmented Zagreb Index of Trees with Given Degree Sequence

Abstract: The augmented Zagreb index  of a graph  is defined as the sum of  over all edges  of , where  is the degrees of the vertex  in . In this paper, we characterize the extremal trees with given degree sequence that maximize and minimize the  index. Keywords: Augmented Zagreb index, Degree sequence, Tree, Extremal graph.
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Minimum Augmented Zagreb Index on Chemical Trees with Given Number of Pendent Vertices

Abstract: Given a graph , the augmented Zagreb index  is defined to be  where  and  are vertices of ,  denotes the degree of the vertex . In this paper, we consider chemical trees with a given number of pendent vertices and derive sharp lower bounds for the  index among this class of trees.
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The minimal augmented Zagreb index of k-apex trees for k{1,2,3}

Applied Mathematics and Computation, 2021
Kun Cheng, Muhuo Liu, Francesco Belardo
openaire   +1 more source

On the exponential augmented Zagreb index of graphs

Journal of Applied Mathematics and Computing
Kinkar Chandra Das   +2 more
openaire   +1 more source

The Augmented Zagreb Indices of Fluoranthene-Type Benzenoid Systems

Bulletin of the Malaysian Mathematical Sciences Society, 2017
Fengwei Li, Juan Rada
exaly  

Bounds for the augmented Zagreb and the atom-bond connectivity indices

Applied Mathematics and Computation, 2017
José Luis Palacios
exaly  

The hyper-zagreb index for an infinite family of nanostar dendrimer

Journal of Discrete Mathematical Sciences and Cryptography, 2017
Wei Gao, Mohammad Reza Farahani
exaly  

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