Results 121 to 130 of about 580,793 (206)

On Sombor index and graph energy of some chemically important graphs

Examples and Counterexamples
Sombor index of a graph G=(V(G),E(G)) is provided by the expression ∑uv∈E(G)du2+dv2, where dx is the degree of the vertex x∈V(G). The energy of a graph is the quantity given by the total of the absolute values of its adjacency matrix’s eigenvalues.
Md Selim Reja, Sk. Md. Abu Nayeem
doaj   +1 more source

Hosoya Polynomials of Power Graphs of Certain Finite Groups. [PDF]

Molecules, 2022
Rather BA, Ali F, Alsaeed S, Naeem M.
europepmc   +1 more source

An Upper Bound on The Largest Signless Laplacian of an Odd Unicyclic Graph

, 2012
We derive an upper bound on the largest signless Laplacian eigen­value of an odd unicyclic graph. The bound is given in terms of the largest vertex degree and the largest height of the trees obtained re­moving the edges of the unique cycle in the ...
Rojo, Oscar, Collao, Macarena, Pizarro, Pamela   +2 more
core   +1 more source

On Hamiltonian Decomposition Problem of 3-Arc Graphs. [PDF]

Comput Intell Neurosci, 2022
Xu G, Sun Q, Liang Z.
europepmc   +1 more source

The minimum matching energy of unicyclic graphs with fixed number of vertices of degree two

Open Mathematics
The number of jj-matchings in a graph HH is denote by m(H,j)m\left(H,j). If for two graphs H1{H}_{1} and H2{H}_{2}, m(H1,j)≥m(H2,j)m\left({H}_{1},j)\ge m\left({H}_{2},j) for all jj, then we write H1≽H2{H}_{1}\succcurlyeq {H}_{2}.
Bai Yongqiang, Ma Hongping, Zhang Xia
doaj   +1 more source

On detour index of cycloparaphenylene and polyphenylene molecular structures. [PDF]

Sci Rep, 2021
Prabhu S, Nisha YS, Arulperumjothi M, Jeba DSR, Manimozhi V.   +4 more
europepmc   +1 more source

Power Graphs of Finite Groups Determined by Hosoya Properties. [PDF]

Entropy (Basel), 2022
Ali F, Rather BA, Din A, Saeed T, Ullah A.   +4 more
europepmc   +1 more source

Local Multiset Dimension of Amalgamation Graphs. [PDF]

F1000Res, 2023
Alfarisi R, Susilowati L, Dafik D, Prabhu S.   +3 more
europepmc   +1 more source

QSPR analysis of anticancer drugs using the Euler-Sombor index and theoretical insights on its minimum value for unicyclic graphs. [PDF]

Sci Rep
Shetty S, Rakshith BR, Udupa NVS.
europepmc   +1 more source

Lower bounds on trees and unicyclic graphs with respect to the misbalance rodeg index. [PDF]

Heliyon
Dehgardi N, Azari M, Shang Y.
europepmc   +1 more source