A strict strong coloring of trees

M Haddad, H Kheddouci - Information Processing Letters, 2009 - Elsevier
coloring parameter of a graph called the strict strong coloring (short SSColoring). A SSColoring
of a graph G is a vertex proper coloring of … not empty color class. The minimum number of …

Convex recolorings of strings and trees: Definitions, hardness results and algorithms

S Moran, S Snir - Journal of Computer and System Sciences, 2008 - Elsevier
colorings only by changing the colorsstrong connection between strains of Tuberculosis
and their human carriers. In this work we define and study a natural distance from a colored tree

[HTML][HTML] Tree-depth, subgraph coloring and homomorphism bounds

J Nešetřil, PO De Mendez - European Journal of Combinatorics, 2006 - Elsevier
… to the number of colors in some centered coloring of G : Let Y be a rooted tree of height td
( G ) , such that G ⊆ clos ( Y ) . Color each vertex by its height in Y , thus using td ( G ) colors. …

Strong spatial mixing for colorings on trees and its algorithmic applications

Z Chen, K Liu, N Mani, A Moitra - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
… Because of the increase in the degree, even tight bounds for trees do not translate into tight
bounds for boundeddegree graphs. Even some of the results we expect to carry over from …

A new and fast evolutionary algorithm for strict strong graph coloring problem

M Bensouyad, N Guidoum, DE Saïdouni - Procedia Computer Science, 2015 - Elsevier
strict strong graph coloring (SSColoring). This graph coloring task aims at finding the
minimum number of colors … A strict strong coloring of trees. Inf Process Lett. 2009;109(18):1047–54. …

Strict Strong Graph Coloring: Algorithms and Applications

M Bensouyad, N Guidoum, DE Saidouni - Proceedings of the The …, 2015 - dl.acm.org
… It is the only algorithm which gives an exact SSColoring for any tree in polynomial time. The
… of trees and in the same time coloring them with an exact and an appropriate number of …

Coloring trees in reverse mathematics

DD Dzhafarov, L Patey - Advances in Mathematics, 2017 - Elsevier
strictly between ACA 0 and RT 2 2 . The proof of this fact uses an extension of the bushy tree
… techniques for dealing with combinatorial statements formulated on trees, rather than on ω. …

Coloring based approach for matching unrooted and/or unordered trees

S Yahiaoui, M Haddad, B Effantin… - Pattern Recognition …, 2013 - Elsevier
tree decomposition method we propose is based on a recent work on graph coloring that
allows an original way to consider a tree … This distance will be called the strict strong distance, …

Planar graph coloring with forbidden subgraphs: Why trees and paths are dangerous

H Broersma, FV Fomin, J Kratochvíl… - … Workshop on Algorithm …, 2002 - Springer
… of coloring a planar graph with the minimum number of colors such that each color class …
T-free 2-coloring of planar graphs for the case where T is a tree with at least two edges (see …

Planar graph coloring avoiding monochromatic subgraphs: Trees and paths make it difficult

H Broersma, FV Fomin, J Kratochvil, GJ Woeginger - Algorithmica, 2006 - Springer
… We consider the problem of coloring a planar graph with the minimum number of colors so
that each color class avoids … The 2-coloring problem is NP-hard if the forbidden subgraph is a …