Results 21 to 30 of about 11,451 (248)

Optimization of data allocation in hierarchical memory for blocked shortest paths algorithms

open access: yesСистемный анализ и прикладная информатика, 2021
This paper is devoted to the reduction of data transfer between the main memory and direct mapped cache for blocked shortest paths algorithms (BSPA), which represent data by a D[M×M] matrix of blocks.
A. A. Prihozhy
doaj   +1 more source

Equitable colorings of bounded treewidth graphs [PDF]

open access: yesTheoretical Computer Science, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bodlaender, H.L., Fomin, F.V.
openaire   +4 more sources

A DSATUR-based algorithm for the Equitable Coloring Problem [PDF]

open access: yes, 2015
This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit.
Méndez-Díaz, Isabel   +2 more
core   +2 more sources

Equitable Coloring of Graphs. Recent Theoretical Results and New Practical Algorithms

open access: yesArchives of Control Sciences, 2016
In many applications in sequencing and scheduling it is desirable to have an underlaying graph as equitably colored as possible. In this paper we survey recent theoretical results concerning conditions for equitable colorability of some graphs and recent
Furmańczyk Hanna   +2 more
doaj   +1 more source

A polyhedral approach for the Equitable Coloring Problem [PDF]

open access: yes, 2011
In this work we study the polytope associated with a 0,1-integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities.
Bahiense   +15 more
core   +2 more sources

An upper bound for the equitable chromatic number of complete n-partite graphs [PDF]

open access: yes, 2014
A proper vertex coloring of a graph $G$ is equitable if the size of color classes differ by at most one. The equitable chromatic number of $G$ is the smallest integer $m$ such that $G$ is equitable m-colorable.
F. Rahbarnia, M. Moaied
core   +1 more source

Equitable colorings of ��-corona products of cubic graphs [PDF]

open access: yesArchives of Control Sciences
A graph G is equitably k-colorable if its vertices can be partitioned into k independent sets in such a way that the number of vertices in any two sets differ by at most one.
Hanna Furmańczyk, Marek Kubale
doaj   +1 more source

A Victorian Age Proof of the Four Color Theorem [PDF]

open access: yes, 2010
In this paper we have investigated some old issues concerning four color map problem. We have given a general method for constructing counter-examples to Kempe's proof of the four color theorem and then show that all counterexamples can be rule out by re-
Cahit, I.
core   +1 more source

On the Adjacent Strong Equitable Edge Coloring of Pn ∨ Pn, Pn ∨ Cn and Cn ∨ Cn

open access: yesMATEC Web of Conferences, 2016
A proper edge coloring of graph G is called equitable adjacent strong edge coloring if colored sets from every two adjacent vertices incident edge are different,and the number of edges in any two color classes differ by at most one,which the required ...
Liu Jun   +4 more
doaj   +1 more source

Equitable colourings of Borel graphs [PDF]

open access: yesForum of Mathematics, Pi, 2021
Abstract Hajnal and Szemerédi proved that if G is a finite graph with maximum degree $\Delta $ , then for every integer $k \geq \Delta +1$ , G has a proper colouring with k colours in which every two colour classes differ in size at most by $1$ ; such colourings ...
Anton Bernshteyn, Clinton T. Conley
openaire   +3 more sources

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