Results 31 to 40 of about 56 (44)

The minimum exponential atom-bond connectivity energy of trees

Special Matrices
Let G=(V(G),E(G))G=\left(V\left(G),E\left(G)) be a graph of order nn. The exponential atom-bond connectivity matrix AeABC(G){A}_{{e}^{{\rm{ABC}}}}\left(G) of GG is an n×nn\times n matrix whose (i,j)\left(i,j)-entry is equal to ed(vi)+d(vj)−2d(vi)d(vj){e}^
Gao Wei
doaj   +1 more source

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 $ h $-integral Sombor indices [PDF]

In 2021, Ivan Gutman introduced the Sombor index, a new vertex-degree-based topological index with significant geometric meaning. This index has shown remarkable growth in research activity in recent years.
Edil D. Molina, Jorge Batanero, José M. Rodríguez   +2 more
core   +1 more source

On the spectral radius and energy of the degree distance matrix of a connected graph

Open Mathematics
Let GG be a simple connected graph on nn vertices. The degree of a vertex v∈V(G)v\in V\left(G), denoted by dv{d}_{v}, is the number of edges incident with vv and the distance between any two vertices u,v∈V(G)u,v\in V\left(G), denoted by duv{d}_{uv}, is ...
Khan Zia Ullah, Hameed Abdul
doaj   +1 more source

New bounds on Zagreb connection indices for trees with fixed domination number

AKCE International Journal of Graphs and Combinatorics
A set D of vertices in a graph G is a dominating set of G if every vertex not in D is adjacent to a vertex in D. The domination number, [Formula: see text], is the minimum cardinality among all dominating sets of G.
H. Rahbani, H. Abdollahzadeh Ahangar, Michael A. Henning   +2 more
doaj   +1 more source

Upper bounds for the global cyclicity index

Open Mathematics
We find new upper bounds for the global cyclicity index, a variant of the Kirchhoff index, and discuss the wide family of graphs for which the bounds are attained.
Palacios José Luis
doaj   +1 more source

Further study of eccentricity based indices for benzenoid hourglass network. [PDF]

Heliyon, 2023
Iqbal H, Aftab MH, Akgul A, Mufti ZS, Yaqoob I, Bayram M, Riaz MB.   +6 more
europepmc   +1 more source

Development of a magnetically suspended momentum wheel [PDF]

An engineering model of a magnetically suspended momentum wheel was designed, fabricated, and tested under laboratory conditions. The basic unit consisted of two magnet bearings, a sculptured aluminum rotor, brushless dc spin motor, and electronics.
Hamilton, S. B.
core   +1 more source

A note on heat kernel of graphs. [PDF]

Heliyon
Yang Y, Ke W, Wang Z, Qiao H.
europepmc   +1 more source

Enumeration of the Hosoya index of pericondensed benzenoid system. [PDF]

Heliyon
Farooq MT, Almalki N, Kaemawichanurat P.
europepmc   +1 more source