Results 71 to 80 of about 144 (108)

Hamiltonian properties of locally connnected graphs with bounded vertex degree

open access: yes, 2009
We consider the existence of hamiltonian cycles for locally connected graphs with a bounded vertex degree. For a graph G, let ¢(G) and ±(G) denote the maximum and minimum vertex degrees, respectively.
Strusevich, Vitaly A.   +3 more
core  

An Intrinsic Homotopy Theory for Simplicial Complexes, with Applications to Image Analysis

open access: yes, 1999
. A simplicial complex is a set equipped with a down-closed family of distinguished finite subsets. This structure, usually viewed as codifying a triangulated space, is used here directly, to describe "spaces" whose geometric realisation can be
Marco Grandis
core  

Rainbow Vertex-Connection and Forbidden Subgraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
A path in a vertex-colored graph is called vertex-rainbow if its internal vertices have pairwise distinct colors. A vertex-colored graph G is rainbow vertex-connected if for any two distinct vertices of G, there is a vertex-rainbow path connecting them ...
Li Wenjing, Li Xueliang, Zhang Jingshu
doaj   +1 more source

Global cycle properties in graphs with large minimum clustering coefficient

open access: yes, 2017
Let P be a graph property. A graph G is said to be locally P (closed locally P) if the subgraph induced by the open neighbourhood (closed neighbourhood, respectively) of every vertex in G has property P.
Borchert, Adam   +2 more
core  

A Note on the Interval Function of a Disconnected Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2018
In this note we extend the Mulder-Nebeský characterization of the interval function of a connected graph to the disconnected case. One axiom needs to be adapted, but also a new axiom is needed in addition.
Changat Manoj   +3 more
doaj   +1 more source

A Note On k Best Solutions To The Chinese Postman Problem

open access: yes, 1993
. The K-best problems on combinatorial optimization problems, in which K best solutions are considered instead of an optimal solution under the same conditions, have widely been studied. In this paper, we consider the K-best problem on the famous Chinese
Yasufumi Saruwatari, Tomomi Matsui
core  

Some Results on the Structure of Multipoles in the Study of Snarks ∗

open access: yes, 2014
AMS classification: 05C15, 05C05, 05C38. Multipoles are the pieces we obtain by cutting some edges of a cubic graph. As a result of the cut, a multipole M has dangling edges with one free end, which we call semiedges.
J. Vilaltella, M. A. Fiol
core  

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

On the δ-chromatic numbers of the Cartesian products of graphs

open access: yesOpen Mathematics
In this work, we study the δ\delta -chromatic number of a graph, which is the chromatic number of the δ\delta -complement of a graph. We give a structure of the δ\delta -complements and sharp bounds on the δ\delta -chromatic numbers of the Cartesian ...
Tangjai Wipawee   +2 more
doaj   +1 more source

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