Results 71 to 80 of about 2,717 (193)
, 2020 In the study of topological indices two negative correlations are well known: that between the number of subtrees and the Wiener index (sum of distances), and that between the Merrifield-Simmons index (number of independent vertex subsets) and the Hosoya index (number of independent edge subsets).
Andriantiana, Eric Ould Dadah, Wang, Hua
openaire +2 more sources
On General Sum‐Connectivity Index and Number of Segments of Fixed‐Order Chemical Trees
Journal of Mathematics, Volume 2025, Issue 1, 2025.Nowadays, one of the most active areas in mathematical chemistry is the study of the mathematical characteristics associated with molecular descriptors. The primary objective of the current study is to find the largest value of χα of graphs in the class of all fixed‐order chemical trees with a particular number of segments for α > 1, where χα is the ...
Muzamil Hanif +5 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.The multiplicative sum Zagreb index of a graph G is defined as the product of the sum of the degrees of adjacent vertices of G. A molecular tree is an acyclic connected graph with maximum degree at most 4. A vertex in a molecular tree with degree 3 or 4 is referred to as a branching vertex. In this paper, we consider the class of all molecular trees of
Sadia Noureen +6 more
wiley +1 more source
The Minimal Total Irregularity of Graphs [PDF]
, 2014 In \cite{2012a}, Abdo and Dimitov defined the total irregularity of a graph $G=(V,E)$ as \hskip3.3cm $\rm irr_{t}$$(G) = \frac{1}{2}\sum_{u,v\in V}|d_{G}(u)-d_{G}(v)|, $ \noindent where $d_{G}(u)$ denotes the vertex degree of a vertex $u\in V$.
Yang, Jieshan, You, Lihua, Zhu, Yingxue
core
Unicyclic graphs with maximal energy
Linear Algebra and its Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Yaoping +2 more
openaire +2 more sources
The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights
Discrete Dynamics in Nature and Society, 2018 The aim of this report to solve the open problem suggested by Chen et al. We study the graph entropy with ABC edge weights and present bounds of it for connected graphs, regular graphs, complete bipartite graphs, chemical graphs, tree, unicyclic graphs ...
Young Chel Kwun +4 more
doaj +1 more source
Decomposition of complete graphs into connected bipartite unicyclic graphs with eight edges
Electronic Journal of Graph Theory and Applications, 2019 We prove that each of the 34 non-isomorphic connected unicyclic bipartite graphs with eight edges decomposes the complete graph Kn whenever the necesary conditions are satisfied.
John Fahnenstiel, Dalibor Froncek
doaj +1 more source
Complement of the generalized total graph of fields
AKCE International Journal of Graphs and Combinatorics, 2020 Let R be a commutative ring and H be a multiplicative prime subset of R. The generalized total graph is the undirected simple graph with vertex set R and two distinct vertices x and y are adjacent if For a field F, is the only multiplicative prime subset
T. Tamizh Chelvam, M. Balamurugan
doaj +1 more source
Mathematika, Volume 70, Issue 4, October 2024.Abstract Given a graph on n$n$ vertices with m$m$ edges, each of unit resistance, how small can the average resistance between pairs of vertices be? There are two very plausible extremal constructions — graphs like a star, and graphs which are close to regular — with the transition between them occurring when the average degree is 3.
J. Robert Johnson, Mark Walters
wiley +1 more source
AN ISOMORPHISM THEOREM FOR UNICYCLIC GRAPHS
Demonstratio Mathematica, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources