Results 1 to 10 of about 207,503 (256)
An Efficient Heuristic Algorithm for Solving Connected Vertex Cover Problem in Graph Theory
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
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]
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
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]
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
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Finding minimal vertex extensions of a colored undirected graph
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
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A New Mathematical Model for Evolutionary Games on Finite Networks of Players [PDF]
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
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
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
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
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