The b-chromatic number of cubic graphs

M Jakovac, S Klavžar - Graphs and Combinatorics, 2010 - Springer
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-
coloring in which every color class contains at least one vertex adjacent to some vertex in all …

[HTML][HTML] On the b-chromatic number of regular graphs

S Cabello, M Jakovac - Discrete Applied Mathematics, 2011 - Elsevier
The b-chromatic number of a graph G is the largest integer k, such that G admits a proper k-
coloring in which every color class contains at least one vertex that has a neighbor in each …

A matheuristic approach for the b-coloring problem using integer programming and a multi-start multi-greedy randomized metaheuristic

RA Melo, MF Queiroz, MC Santos - European Journal of Operational …, 2021 - Elsevier
Given a graph G=(V, E), the b-coloring problem consists in attributing a color to every vertex
in V such that adjacent vertices receive different colors, every color has a b-vertex, and the …

[HTML][HTML] The b-chromatic number and related topics—a survey

M Jakovac, I Peterin - Discrete Applied Mathematics, 2018 - Elsevier
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-
coloring in which every color class contains at least one vertex that has a neighbor in each …

[HTML][HTML] On b-coloring of the Kneser graphs

R Javadi, B Omoomi - Discrete Mathematics, 2009 - Elsevier
A b-coloring of a graph G by k colors is a proper k-coloring of G such that in each color class
there exists a vertex having neighbors in all the other k− 1 color classes. The b-chromatic …

[HTML][HTML] The b-chromatic index of graphs

VA Campos, CV Lima, NA Martins, L Sampaio… - Discrete …, 2015 - Elsevier
A b-coloring of the vertices of a graph is a proper coloring where each color class contains a
vertex which is adjacent to at least one vertex in each other color class. The b-chromatic …

A constraint programming model for the b-coloring problem

R Montemanni, GH Carraretto, UJ Mele… - Industrial …, 2023 - ebooks.iospress.nl
B-coloring is a theoretical optimization problem on a graph that, on top of being used to
model some real-world applications, is exploited by some bounding techniques embedded …

[PDF][PDF] Bounded Width Graph Classes in Parameterized Algorithms

L Jaffke - 2020 - lars-jaffke.github.io
A common way to tackle the computational intractability of combinatorial problems on
graphs is to impose restrictions on the input graphs that can be exploited in the design of …

[HTML][HTML] On the b-chromatic number of regular graphs without 4-cycle

S Shaebani - Discrete Applied Mathematics, 2012 - Elsevier
The b-chromatic number of a graph G, denoted by φ (G), is the largest integer k for which G
admits a proper coloring by k colors, such that each color class has a vertex that is adjacent …

On the b-chromatic number of some graph products

M Jakovac, I Peterin - Studia Scientiarum Mathematicarum …, 2012 - akjournals.com
A b-coloring is a proper vertex coloring of a graph such that each color class contains a
vertex that has a neighbor in all other color classes and the b-chromatic number is the …