Results 71 to 80 of about 504 (100)

Several Zagreb indices of power graphs of finite non-abelian groups. [PDF]

Heliyon, 2023
Ismail R, Ali F, Qasim R, Naeem M, Mashwani WK, Khan S.   +5 more
europepmc   +1 more source

On the δ-chromatic numbers of the Cartesian products of graphs

Open Mathematics
In this work, we study the δ\delta -chromatic number of a graph, which is the chromatic number of the δ\delta -complement of a graph. We give a structure of the δ\delta -complements and sharp bounds on the δ\delta -chromatic numbers of the Cartesian ...
Tangjai Wipawee, Pho-on Witsarut, Vichitkunakorn Panupong   +2 more
doaj   +1 more source

On the first Zagreb index and multiplicative Zagreb coindices of graphs

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   +1 more source

A novel algebraic technique for adjacency matrices of some derived graphs

Mathematical and Computer Modelling of Dynamical Systems
Graph energy has been the main concern of spectral graph theory in the last five decades. The classical graph energy is the sum of the absolute values of the eigenvalues of the adjacency matrix. In many research papers, different versions of graph energy
Hacer Ozden Ayna, Aysun Yurttas Gunes, Sadik Delen, Medha Itagi Huilgol, Berke Ozmen, Ismail Naci Cangul   +5 more
doaj   +1 more source

An extremal problem on potentially K p,1,1-graphic sequences

Discrete Mathematics & Theoretical Computer Science, 2005
A sequence S is potentially K p,1,1 graphical if it has a realization containing a K p,1,1 as a subgraph, where K p,1,1 is a complete 3-partite graph with partition sizes p,1,1.
Chunhui Lai
doaj  

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 the vv-degree based first Zagreb index of graphs

AKCE International Journal of Graphs and Combinatorics
A topological index is a graph invariant applicable in chemistry. The first Zagreb index is a topological index based on the vertex degrees of molecular graphs. For any graph G, the first Zagreb index [Formula: see text] is equal to the sum of squares of
L. Anusha, N. V. Sayinath Udupa, N. Prathviraj   +2 more
doaj   +1 more source

Network-based kinetic models: Emergence of a statistical description of the graph topology

European Journal of Applied Mathematics
In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems.
Marco Nurisso, Matteo Raviola, Andrea Tosin   +2 more
doaj   +1 more source

Groupies in multitype random graphs. [PDF]

Springerplus, 2016
Shang Y.
europepmc   +1 more source

On Properties of Distance-Based Entropies on Fullerene Graphs. [PDF]

Entropy (Basel), 2019
Ghorbani M, Dehmer M, Rajabi-Parsa M, Mowshowitz A, Emmert-Streib F.   +4 more
europepmc   +1 more source