Results 1 to 10 of about 207,503 (256)

An Efficient Heuristic Algorithm for Solving Connected Vertex Cover Problem in Graph Theory

open access: yes, 2018
The connected vertex cover (CVC) problem is a variant of the vertex cover problem, which has many important applications, such as wireless network design, routing and wavelength assignment problem, etc. A good algorithm for the problem can help us improve engineering efficiency, cost savings and resources in industrial applications.
Zhang, Yongfei   +5 more
openaire   +2 more sources

Analysis of Rainbow Vertex Antimagic Coloring and its Application to Cryptographic Secret Sharing with Affine Cipher Technique

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Rainbow vertex antimagic coloring is a novel concept in graph theory that combines rainbow vertex connection with antimagic labeling. Rainbow vertex connection is a vertex coloring where each vertex in a simple connected graph G=(V,E) is connected by a ...
Dafik Dafik   +5 more
doaj   +1 more source

Hamilton cycles in dense vertex-transitive graphs [PDF]

open access: yes, 2014
A famous conjecture of Lov\'asz states that every connected vertex-transitive graph contains a Hamilton path. In this article we confirm the conjecture in the case that the graph is dense and sufficiently large.
Alon   +28 more
core   +2 more sources

Game Chromatic Number of Tadpole Graph, Broom Graph, and Tribune Graph

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Graph coloring game is one of application in graph theory. The goal in this article is determine game chromatic number of tadpole graph, broom graph, and tribune graph.
Fransiskus Fran, M Luthfi Abdurahman
doaj   +1 more source

Unfolding of Finite Concurrent Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2018
We consider recognizable trace rewriting systems with level-regular contexts (RTL). A trace language is level-regular if the set of Foata normal forms of its elements is regular. We prove that the rewriting graph of a RTL is word-automatic.
Alexandre Mansard
doaj   +1 more source

Finding minimal vertex extensions of a colored undirected graph

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. The research considers the results of the finding minimal vertex extensions of the colored undirected graphs. This topic relates to the modelling of the completely fault tolerant technical systems with the different typed objects in the ...
M.B. Abrosimov, P.V. Razumovsky
doaj   +1 more source

A New Mathematical Model for Evolutionary Games on Finite Networks of Players [PDF]

open access: yes, 2013
A new mathematical model for evolutionary games on graphs is proposed to extend the classical replicator equation to finite populations of players organized on a network with generic topology.
Madeo, Dario, Mocenni, Chiara
core  

Inverse monoids of partial graph automorphisms

open access: yes, 2020
A partial automorphism of a finite graph is an isomorphism between its vertex induced subgraphs. The set of all partial automorphisms of a given finite graph forms an inverse monoid under composition (of partial maps). We describe the algebraic structure
Jajcay, Robert   +3 more
core   +1 more source

Testing Equality in Communication Graphs

open access: yes, 2016
Let $G=(V,E)$ be a connected undirected graph with $k$ vertices. Suppose that on each vertex of the graph there is a player having an $n$-bit string. Each player is allowed to communicate with its neighbors according to an agreed communication protocol ...
Alon, Noga   +2 more
core   +1 more source

Further Results on Resistance Distance and Kirchhoff Index in Electric Networks

open access: yesDiscrete Dynamics in Nature and Society, 2016
In electric circuit theory, it is of great interest to compute the effective resistance between any pairs of vertices of a network, as well as the Kirchhoff index.
Qun Liu, Jia-Bao Liu, Jinde Cao
doaj   +1 more source

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