Results 11 to 20 of about 10,946,765 (186)

On second Zagreb index and coindex of some derived graphs [PDF]

Kragujevac Journal of Science, 2015
The second Zagreb index is defined as the sum of the products of the degrees of adjacent vertices. In this note, we examine the second Zagreb indices of some derived graphs and find expressions for these in terms of vertex degrees.
Bommanahal Basavanagoud, Gutman Ivan, Gali Chetana S.   +2 more
doaj   +4 more sources

Ordering of trees by multiplicative second Zagreb index [PDF]

Transactions on Combinatorics, 2016
‎For a graph $G$ with edge set $E(G)$‎, ‎the multiplicative second Zagreb index of $G$ is defined as‎ ‎$Pi_2(G)=Pi_{uvin E(G)}[d_G(u)d_G(v)]$‎, ‎where $d_G(v)$ is the degree of vertex $v$ in $G$‎. ‎In this paper‎, ‎we identify the eighth class of trees‎,
Mehdi Eliasi, Ali Ghalavand
doaj   +4 more sources

REDUCED SECOND ZAGREB INDEX OF BICYCLIC GRAPHS WITH PENDENT VERTICES [PDF]

Le Matematiche, 2016
Reduced second Zagreb index has been defined recently. In this paper we characterized extremal bicyclic graphs with pendent vertices with respect to this novel ...
Ediz, Süleyman
core   +5 more sources

On General Reduced Second Zagreb Index of Graphs

Mathematics, 2022
Graph-based molecular structure descriptors (often called “topological indices”) are useful for modeling the physical and chemical properties of molecules, designing pharmacologically active compounds, detecting environmentally hazardous substances, etc.
Lkhagva Buyantogtokh, Batmend Horoldagva, Kinkar Chandra Das   +2 more
doaj   +6 more sources

REDUCED SECOND ZAGREB INDEX OF UNICYCLIC GRAPHS

Advances and Applications in Discrete Mathematics, 2018
Recently a novel degree based topological index, reduced second Zagreb index, defined for any connected graph as ...
Aldemir, Mehmet Şerif, Mehmet Şerif Aldemir   +1 more
core   +5 more sources

Sharp bounds for the second Zagreb index and co-index under trees of given conditions

Mathematics Open
The second Zagreb index and co-index are two important graph invariants. They are defined as [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] is the complement of G and [Formula: see text] is the degree of a vertex u ...
Ziyang Zhao, Zunzheng Chen
doaj   +2 more sources

Majorization under constraints and bounds on the second Zagreb index [PDF]

Mathematical Inequalities & Applications, 2013
In this paper we present a theoretical analysis in order to establish maximal and minimal vectors with respect to the majorization order of particular subsets of Ân.
Torriero, Anna, Alessandra Cornaro, Anna Torriero, Bianchi, Monica, Cornaro, Alessandra, Monica Bianchi   +5 more
core   +6 more sources

Bounds on Szeged and PI Indexes in terms of Second Zagreb Index [PDF]

, 2012
In this short note, we studied the vertex version and the edge version of the Szeged index and the PI index and obtained bounds for these indices in terms of the Second Zagreb index.
Ranjini P.S., Phani Raju, M., Lokesha, V.   +2 more
core   +3 more sources

On the first Zagreb index and multiplicative Zagreb coindices of graphs [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as , where dG(vi) is the degree of vertex vi in G. Recently Xu et al. introduced two graphical invariants and named as first multiplicative Zagreb
Das Kinkar Ch., Akgunes Nihat, Togan Muge, Yurttas Aysun, Cangul I. Naci, Cevik A. Sinan   +5 more
doaj   +3 more sources

The Second Hyper-Zagreb Index and Coindex of Chemical Nano-structures in Drugs

Pharmaceutical Nanotechnology, 2023
Introduction: Various dendrimer nanoparticles have properties like multivalency, controlled size, and surface functionality that make them promising nanocarriers for targeted drug delivery and other applications in pharmaceutical sciences.
ZEREN, Yusuf, Alameri, Abdu, Ahmed, Haifa, Alsharafi, Mohammed   +3 more
core   +4 more sources