Results 81 to 90 of about 193 (154)

Packing Coloring of Some Undirected and Oriented Coronae Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that its set of vertices V(G) can be partitioned into k disjoint subsets V1, . . . , Vk, in such a way that every two distinct vertices in Vi are at distance greater than i in
Laïche Daouya   +2 more
doaj   +1 more source

On the number of spanning trees, the Laplacian eigenvalues, and the Laplacian Estrada index of subdivided-line graphs

open access: yesOpen Mathematics, 2016
As a generalization of the Sierpiński-like graphs, the subdivided-line graph Г(G) of a simple connected graph G is defined to be the line graph of the barycentric subdivision of G.
Shang Yilun
doaj   +1 more source

The Sanskruti index of trees and unicyclic graphs

open access: yesOpen Chemistry, 2019
The Sanskruti index of a graph G is defined as S(G)=∑uv∈E(G)sG(u)sG(v)sG(u)+sG(v)−23,$$\begin{align*}S(G)=\sum_{uv\in{}E(G)}{\left(\frac{s_G(u)s_G(v)}{s_G(u)+s_G(v)-2}\right)}^3, \end{align*}$$where sG(u) is the sum of the degrees of the neighbors of a ...
Deng Fei   +6 more
doaj   +1 more source

Computation of Augmented Zagreb Index and their Polynomial of Certain Class of Windmill Graphs

open access: yes, 2018
The augmented Zagreb index of a graph G=(V, E) is defined by In this paper, we compute the augmented Zagreb index and their polynomials of certain classes of windmill graphs like French windmill graph, Dutch windmill graph, Kulli cycle windmill graph ...
Diwakar, S. A., Chaluvaraju, B.
core  

Random walks on infinite self-similar graphs

open access: yes, 2008
We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures.
J. Neunhäuserer
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Lower bounds on the leaf number in graphs with forbidden subgraphs

open access: yes, 2017
Let G be a simple, connected graph. The leaf number, L(G) of G, is dened as the maximum number of leaf vertices contained in a spanning tree of G. Assume that G is a triangle-free graph with minimum degree δ, order n and leaf number L(G).
Rodrigues, B.G., Mukwembi, S, Munyira, S
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Symplectic Runge-Kutta Schemes III: Canonical Elementary Differentials

open access: yes, 1993
. It has been shown that numerical methods for Hamiltonian systems may be characterised in terms of so-called canonical elementary differentials. Recent results by the authors demonstrate that the symplecticity condition for Runge-Kutta schemes may be ...
M. Sofroniou, W. Oevel
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Completely Independent Spanning Trees in k-Th Power of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let T1, T2, . . . , Tk be spanning trees of a graph G. For any two vertices u, v of G, if the paths from u to v in these k trees are pairwise openly disjoint, then we say that T1, T2, . . . , Tk are completely independent. Araki showed that the square of
Hong Xia
doaj   +1 more source

A Linked Cluster Theorem of the Solution of the Generalized Burger Equation

open access: yes, 2012
In this paper we consider a stochastic partial differential equation defined on a Lattice L δ with coefficients of non-linearity with degree p. An analytic solution in the sense of formal power series is given.
Boubaker Smii
core  

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