Results 51 to 60 of about 567 (69)

On Radio Connection Number of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Given a graph G and a vertex coloring c, G is called l-radio connected if between any two distinct vertices u and v there is a path such that coloring c restricted to that path is an l-radio coloring.
Marinescu-Ghemeci Ruxandra
doaj   +1 more source

A note on nowhere-zero 3-flow and Z_3-connectivity

open access: yes, 2014
There are many major open problems in integer flow theory, such as Tutte's 3-flow conjecture that every 4-edge-connected graph admits a nowhere-zero 3-flow, Jaeger et al.'s conjecture that every 5-edge-connected graph is $Z_3$-connected and Kochol's ...
Chen, Fuyuan, Ning, Bo
core   +1 more source

A Sufficient Condition for Graphs to Be Super K-Restricted Edge Connected

open access: yesDiscussiones Mathematicae Graph Theory, 2017
For a subset S of edges in a connected graph G, S is a k-restricted edge cut if G − S is disconnected and every component of G − S has at least k vertices.
Wang Shiying, Wang Meiyu, Zhang Lei
doaj   +1 more source

Arc Fault Tolerance of Cartesian Product of Regular Digraphs on Super-Restricted Arc-Connectivity

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let D = (V (D),A(D)) be a strongly connected digraph. An arc set S ⊆ A(D) is a restricted arc-cut of D if D − S has a non-trivial strong component D1 such that D − V (D1) contains an arc.
Zhang Guozhen, Wang Shiying
doaj   +1 more source

Erdős-Gallai-Type Results for Total Monochromatic Connection of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
A graph is said to be total-colored if all the edges and the vertices of the graph are colored. A total-coloring of a graph is a total monochromatically-connecting coloring (TMC-coloring, for short) if any two vertices of the graph are connected by a ...
Jiang Hui, Li Xueliang, Zhang Yingying
doaj   +1 more source

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

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

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

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

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