On the extremal cacti of given parameters with respect to the difference of zagreb indices
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-019-00391-4
Abstract: The first and the second Zagreb indices of a graph G are defined as $$M_1(G)= \sum _{v\in V_G}d_v^2 $$M1(G)=∑v∈VGdv2 and $$ M_2(G)= \sum _{uv\in E_G}d_ud_v$$M2(G)=∑uv∈EGdudv, where $$d_v,\, d_u$$dv,du are the degrees of vertices $$v,\, u$$v,u… read more here.
Keywords: difference zagreb; vertex cacti; zagreb indices; zagreb ... See more keywords
Zagreb Indices and Multiplicative Zagreb Indices of Eulerian Graphs
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0463-2
Abstract: For a graph $$G = (V(G), E(G))$$G=(V(G),E(G)), let d(u), d(v) be the degrees of the vertices u, v in G. The first and second Zagreb indices of G are defined as $$ M_1(G) = \sum _{u \in… read more here.
Keywords: indices multiplicative; zagreb indices; eulerian graphs; zagreb ... See more keywords
The Harmonic and Second Zagreb Indices in Random Polyphenyl and Spiro Chains
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DOI: 10.1080/10406638.2020.1749089
Abstract: Abstract The polyphenyl chains with n hexagons are the special graphs of unbranched polycyclic aromatic hydrocarbons. The main objective of this study is to find the expected values of the harmonic and second Zagreb indices… read more here.
Keywords: zagreb indices; spiro chains; polyphenyl spiro; second zagreb ... See more keywords
Multiplicative Zagreb Indices of Molecular Graphs
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DOI: 10.1155/2019/5294198
Abstract: Mathematical modeling with the help of numerical coding of graphs has been used in the different fields of science, especially in chemistry for the studies of the molecular structures. It also plays a vital role… read more here.
Keywords: generalized sum; zagreb indices; sum graphs; chemistry ... See more keywords
Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Chemistry"
DOI: 10.1155/2021/6663624
Abstract: Numerous studies based on mathematical models and tools indicate that there is a strong inherent relationship between the chemical properties of the chemical compounds and drugs with their molecular structures. In the last two decades,… read more here.
Keywords: graphs; generalized sum; strong product; zagreb indices ... See more keywords
Zagreb Polynomials and redefined Zagreb indices of Dendrimers and Polyomino Chains
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DOI: 10.1515/chem-2019-0144
Abstract: Abstract Dendrimers have an incredibly strong potential because their structure allows multivalent frameworks, i.e. one dendrimer molecule has many possible destinations to couple to a functioning species. Researchers expected to utilize the hydrophobic conditions of… read more here.
Keywords: zagreb indices; dendrimers polyomino; zagreb polynomials; polynomials redefined ... See more keywords
Maximizing and Minimizing Multiplicative Zagreb Indices of Graphs Subject to Given Number of Cut Edges
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DOI: 10.3390/math6110227
Abstract: Given a (molecular) graph, the first multiplicative Zagreb index Π 1 is considered to be the product of squares of the degree of its vertices, while the second multiplicative Zagreb index Π 2 is expressed… read more here.
Keywords: graphs subject; zagreb indices; cut edges; multiplicative zagreb ... See more keywords
New bounds on Zagreb indices
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-11-17
Abstract: The Zagreb indices are among the oldest and the most famous topological molecular structure-descriptors. The first Zagreb index is equal to the sum of the squares of the degrees of the vertices, and the second… read more here.
Keywords: bounds zagreb; zagreb indices; new bounds;