Results 71 to 80 of about 168 (109)

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

Hyper-Wiener indices of polyphenyl chains and polyphenyl spiders

Open Mathematics, 2019
Let G be a connected graph and u and v two vertices of G. The hyper-Wiener index of graph G is WW(G)=12∑u,v∈V(G)(dG(u,v)+dG2(u,v))$\begin{array}{} WW(G)=\frac{1}{2}\sum\limits_{u,v\in V(G)}(d_{G}(u,v)+d^{2}_{G}(u,v)) \end{array}$, where dG(u, v) is the ...
Wu Tingzeng, Lü Huazhong
doaj   +1 more source

Power graphs and exchange property for resolving sets

Open Mathematics, 2019
Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton twins is given.
Abbas Ghulam, Ali Usman, Munir Mobeen, Bokhary Syed Ahtsham Ul Haq, Kang Shin Min   +4 more
doaj   +1 more source

Computational analysis for eccentric neighborhood Zagreb indices and their significance. [PDF]

Heliyon, 2023
Ahmed H, Saleh A, Ismail R, M RS, Alameri A.   +4 more
europepmc   +1 more source

Symmetries and symmetry-breaking in arithmetic graphs. [PDF]

Heliyon, 2023
Shah A, Javaid I, Rehman SU.
europepmc   +1 more source

Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants. [PDF]

Molecules, 2023
Chu ZQ, Ali H, Ali DA, Nadeem M, Kirmani SAK, Ali P.   +5 more
europepmc   +1 more source

A cospectral construction for the generalized distance matrix

Special Matrices
The generalized distance matrix of a graph is a matrix in which the (i,j)\left(i,j)th entry is a function, ff, of the distance between vertex ii and vertex jj.
Friesen Ori, Kolko Cecily, Layman Nick, Lorenzen Kate, Zaske Sarah, Zeigler Amy   +5 more
doaj   +1 more source

Biochemical phenotyping of paroxysmal nocturnal hemoglobinuria reveals solute carriers and β-oxidation deficiencies. [PDF]

PLoS One, 2023
Yamakawa PE, Fonseca AR, Guerreiro da Silva IDC, Gonçalves MV, Marchioni DM, Carioca AAF, Michonneau D, Arrais-Rodrigues C.   +7 more
europepmc   +1 more source

Four-point condition matrices of edge-weighted trees

Special Matrices
Formulas for the determinant of distance matrix DT{D}_{T} of tree TT are known in the unweighted case and in the case when the edges of TT have commuting variable weights. Associated with the four-point condition (4PC) and a tree TT are two matrices, the
Azimi Ali, Jana Rakesh, Nagar Mukesh K., Sivasubramanian Sivaramakrishnan   +3 more
doaj   +1 more source

Leap Zagreb indices of certain chemical structures: a topological analysis

Main Group Metal Chemistry
Topological indices serve as important molecular descriptors in quantitative structure–property relationship (QSPR) and quantitative structure–activity relationship (QSAR) studies.
Rehman Masood Ur, Cai Gaixiang, Iqbal Javaria, Salman Muhammad   +3 more
doaj   +1 more source