Results 11 to 20 of about 1,312,788 (294)

The Average Covering Number of a Graph

open access: yesJournal of Applied Mathematics, 2013
There are occasions when an average value of a graph parameter gives more useful information than the basic global value. In this paper, we introduce the concept of the average covering number of a graph (the covering number of a graph is the minimum ...
Derya Dogan, Pinar Dundar
doaj   +2 more sources

Random graph models for wireless communication networks [PDF]

open access: yes, 2010
PhDThis thesis concerns mathematical models of wireless communication networks, in particular ad-hoc networks and 802:11 WLANs. In ad-hoc mode each of these devices may function as a sender, a relay or a receiver.
Song, Linlin
core   +4 more sources

Covering polygonal annuli by strips [PDF]

open access: yes, 2007
In 2000 Bezdek asked which plane convex bodies have the property that whenever an annulus, consisting of the body less a sufficiently small scaled copy of itself, is covered by strips, the sum of the widths of the strips must still be at least the ...
Laura Wisewell   +3 more
core   +2 more sources

On Pathos Semitotal and Total Block Graph of a Tree [PDF]

open access: yes, 2011
The concept of pathos of a graph G was introduced by Harary [2], as a collection of minimum number of line disjoint open paths whose union is G. The path number of a graph G is the number of paths in pathos.
Muddebihal M. H.
core   +1 more source

Labeling, Covering and Decomposing of Graphs — Smarandache’s Notion in Graph Theory [PDF]

open access: yes, 2010
This paper surveys the applications of Smarandache’s notion to graph theory appeared in International J.Math.Combin. from Vol.1,2008 to Vol.3,2009.
Mao, Linfan, Linfan Mao
core   +1 more source

Directed graph iterated function systems [PDF]

open access: yes, 2011
This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
core   +2 more sources

A Fuzzy Graph Theory Approach to the Facility Location Problem: A Case Study in the Indian Banking System

open access: yesMathematics, 2023
A fuzzy graph G is stated to have a set of trees as its tree cover if all the vertices of G are in their union. The maximum weight tree in the tree cover is assumed to be the cost of a tree cover for a fuzzy graph.
Anushree Bhattacharya, Madhumangal Pal
doaj   +1 more source

Nordhaus-gaddum type inequalities for tree covering numbers on unitary cayley graphs of finite rings [PDF]

open access: yesTransactions on Combinatorics, 2022
The unitary Cayley graph $\Gamma_n$ of a finite ring $\mathbb{Z}_n$ is the graph with vertex set $\mathbb{Z}_n$ and two vertices $x$ and $y$ are adjacent if and only if $x-y$ is a unit in $\mathbb{Z}_n$‎. ‎A family $\mathcal{F}$ of mutually edge disjoint
Denpong Pongpipat, Nuttawoot Nupo
doaj   +1 more source

On covers of graphs by Cayley graphs [PDF]

open access: yesEuropean Journal of Combinatorics, 2017
We prove that every vertex transitive, planar, 1-ended, graph covers every graph whose balls of radius r are isomorphic to the ball of radius r in G for a sufficiently large r. We ask whether this is a general property of finitely presented Cayley graphs, as well as further related questions.
openaire   +4 more sources

On Pathos Total Semitotal and Entire Total Block Graph of a Tree [PDF]

open access: yes, 2012
In this communication, the concept of pathos total semitotal and entire total block graph of a tree is introduced. Its study is concentrated only on trees.
Syed Babajan   +2 more
core   +1 more source

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