Results 61 to 70 of about 101 (95)

Sufficient Conditions for Maximally Edge-Connected and Super-Edge-Connected Graphs Depending on The Clique Number

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let G be a connected graph with minimum degree δ and edge-connectivity λ. A graph is maximally edge-connected if λ = δ, and it is super-edgeconnected if every minimum edge-cut is trivial; that is, if every minimum edge-cut consists of edges incident with
Volkmann Lutz
doaj   +1 more source

On the neighbour vulnerability of recursive graphs

open access: yes, 2006
The vulnerability of the communication network measures the resistance of the network to disruption of operation after the failure of certain stations or communication links.
Aytaç A., Dündar P.
core  

The Path-Pairability Number of Product of Stars

open access: yesDiscussiones Mathematicae Graph Theory, 2019
The study of a graph theory model of certain telecommunications network problems lead to the concept of path-pairability, a variation of weak linkedness of graphs.
Jobson Adam S.   +3 more
doaj   +1 more source

Properties of uniformly $3$-connected graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
A graph on at least ${{k+1}}$ vertices is uniformly $k$-connected if each pair of its vertices is connected by $k$ and not more than $k$ independent paths.
Frank Göring, Tobias Hofmann
doaj   +1 more source

On Finding a Smallest Augmentation to Biconnect a Graph

open access: yes, 1993
. We consider the problem of finding a minimum number of edges whose addition biconnects an undirected graph. This problem has been studied by several other researchers, two of whom presented a linear time algorithm for this problem in an earlier volume ...
Vijaya Ramachandran, Tsan-sheng Hsu
core  

Connectivity of Triangulation Flip Graphs in the Plane. [PDF]

open access: yesDiscrete Comput Geom, 2022
Wagner U, Welzl E.
europepmc   +1 more source

On primality of Cartesian product of graphs [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe present work focuses on the primality and the Cartesian product of graphs.Design/methodology/approachGiven a graph G, a subset M of V (G) is a module of G if, for a, b ∈ M and x ∈ V (G) \ M, xa ∈ E(G) if and only if xb ∈ E(G).
Nadia El Amri   +2 more
doaj   +1 more source

Structure of the space of taboo-free sequences. [PDF]

open access: yesJ Math Biol, 2020
Manuel C, von Haeseler A.
europepmc   +1 more source

The power of many colours

open access: yesForum of Mathematics, Sigma
A classical problem, due to Gerencsér and Gyárfás from 1967, asks how large a monochromatic connected component can we guarantee in any r-edge colouring of $K_n$ ?
Noga Alon   +3 more
doaj   +1 more source

A Suzuki-type multivalued contraction on weak partial metric spaces and applications. [PDF]

open access: yesJ Inequal Appl, 2018
Aydi H   +3 more
europepmc   +1 more source

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