Results 81 to 90 of about 202 (134)

Hyper-Wiener indices of polyphenyl chains and polyphenyl spiders

open access: yesOpen 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

The Serial Transitive Closure Problem for Trees

open access: yes, 2002
The serial transitive closure problem is the problem of, given a directed graph G and a list of edges, called closure edges, which are in the transitive closure of the graph, to generate all the closure edges from edges in G.

core  

Power graphs and exchange property for resolving sets

open access: yesOpen 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   +4 more
doaj   +1 more source

Invariant Factors of Graphs associated with Hyperplane Arrangements

open access: yes, 1998
A matrix called Varchenko matrix associated with a hyperplane arrangement was defined by Varchenko in 1991. Matrices that we shall call q-matrices are induced from Varchenko matrices.
Wai Chee Shiu
core  

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

open access: yesHeliyon, 2023
Shah A, Javaid I, Rehman SU.
europepmc   +1 more source

Invariant Factors of Graphs associated with Hyperplane Arrangements

open access: yes, 2008
A matrix called Varchenko matrix associated with a hyperplane arrangement was defined by Varchenko in 1991. Matrices that we shall call q-matrices are induced from Varchenko matrices.
Wai Chee Shiu
core  

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

open access: yesMolecules, 2023
Chu ZQ   +5 more
europepmc   +1 more source

n-Semimetric

open access: yes, 1998
We introduce n-semimetrics as a common extension of n-metrics and certain recent applied notions like the 2-way distance. The n-semimetrics are totally symmetric maps from E n+1 into R+ satisfying the simplex inequality, a direct extension of the ...
M. -m. Deza   +4 more
core  

A cospectral construction for the generalized distance matrix

open access: yesSpecial 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   +5 more
doaj   +1 more source

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