Results 21 to 30 of about 39,174 (128)

On the maximum atom-bond sum-connectivity index of molecular trees

AKCE International Journal of Graphs and Combinatorics
Let G be a graph with V(G) and E(G), as vertex set and edge set, respectively. The atom-bond sum-connectivity (ABS) index is a vertex-based topological index which is defined as [Formula: see text] where [Formula: see text] is the degree of the vertex a.
Zhonglin Cheng, Akbar Jahanbani, Jun Wang   +2 more
doaj   +1 more source

On Euler-Sombor index of benzenoids and phenylenes [PDF]

Kragujevac Journal of Science
The Euler-Sombor index of a graph, EU(G), is a recently introduced vertex-degree based topological index. It is derived from the geometric consideration of a graph.
Redžepović Izudin, Muminović Lejla
doaj   +1 more source

Some new bounds on the general sum–connectivity index [PDF]

Communications in Combinatorics and Optimization, 2020
Let $G=(V,E)$ be a simple connected graph with $n$ vertices, $m$ edges and sequence of vertex degrees $d_1 \ge d_2 \ge \cdots \ge d_n>0$, $d_i=d(v_i)$, where $v_i\in V$. With $i\sim j$ we denote adjacency of vertices $v_i$ and $v_j$. The general sum--
Akbar Ali, Mubeen Javaid, Marjan Matejic, Igor Milovanovic, Emina Milovanovic   +4 more
doaj   +1 more source

On the Trees With Maximal Augmented Zagreb Index

IEEE Access, 2018
The augmented Zagreb index (AZI), a variant of the well-known atom-bond connectivity (ABC) index, was shown to have the best predicting ability for a variety of physicochemical properties among several tested vertex-degree-based topological indices ...
Wenshui Lin, Akbar Ali, Linshan Huang, Zhixi Wu, Jianfeng Chen   +4 more
doaj   +1 more source

End compactifications in non-locally-finite graphs

, 2000
There are different definitions of ends in non-locally-finite graphs which are all equivalent in the locally finite case. We prove the compactness of the end-topology that is based on the principle of removing finite sets of vertices and give a proof of ...
Krön, B.
core   +1 more source

Status Connectivity Indices of Middle graph

Ratio Mathematica
Topological index is sometimes also known as graph theoretic index, is a numerical invariant of a graph, the topological indices are classified on degree and distance based concepts.
Roopa Subhas Naikar
doaj   +1 more source

Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations

, 2016
We constructed physically stable sp2 negatively curved cubic carbon structures which reticulate a Schwarz P-like surface. The method for constructing such crystal structures is based on the notion of the standard realization of abstract crystal lattices.
Naito, Hisashi
core   +1 more source

On some topological indices of zero divisor graphs of direct product of three finite fields

Examples and Counterexamples
In this paper, we determine some degree-based topological indices, such as the Sombor index, the first and second Zagreb indices, the forgotten topological index, the Narumi–Katayama index, the first and second multiplicative Zagreb indices, the atom ...
Subhash Mallinath Gaded, Nithya Sai Narayana   +1 more
doaj   +1 more source

Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index

International Journal of Quantum Chemistry
Abstract Chemical graph theory facilitates different tools that have significant applications in drug design and development. Recently Gutman et al., introduced a novel vertex-degree-based topological index called Elliptic Sombor index and its application through geometric approach.
M.C. Shanmukha, A. Usha, V.R. Kulli, K.C. Shilpa   +3 more
openaire   +1 more source

Eccentric connectivity index [PDF]

, 2010
The eccentric connectivity index $\xi^c$ is a novel distance--based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. It is defined as $\xi^c (G) = \sum_{v \in V (G)} deg (v) \cdot
Ilić, Aleksandar
core