An exact approach for the Vertex Coloring Problem
نویسندگان
چکیده
منابع مشابه
Polynomial Cases for the Vertex Coloring Problem
The computational complexity of the Vertex Coloring problem is known for all hereditary classes of graphs defined by forbidding two connected five-vertex induced subgraphs, except for seven cases. We prove the polynomial-time solvability of four of these problems: for (P5, dart)-free graphs, (P5, banner)-free graphs, (P5, bull)-free graphs, and (fork, bull)-free graphs.
متن کاملAn exact DSatur-based algorithm for the Equitable Coloring Problem
This paper describes an exact algorithm for the Equitable Coloring Problem, based on the well known DSatur algorithm for the classic Coloring Problem with new pruning rules specifically derived from the equity constraint. Computational experiences show that our algorithm is competitive with those known in literature.
متن کاملAn exact algorithm with learning for the graph coloring problem
Given an undirected graph G=(V ,E), the Graph Coloring Problem (GCP) consists in assigning a color to each vertex of the graph G in such a way that any two adjacent vertices are assigned different colors, and the number of different colors used is minimized. State-of-the-art algorithms generally deal with the explicit constraints in GCP: any two adjacent vertices should be assigned different co...
متن کاملAn exact algorithm for the Partition Coloring Problem
We study the Partition Coloring Problem (PCP), a generalization of the Vertex Coloring Problem where the vertex set is partitioned. The PCP asks to select one vertex for each subset of the partition in such a way that the chromatic number of the induced graph is minimum. We propose a new Integer Linear Programming formulation with an exponential number of variables. To solve this formulation to...
متن کاملAn Exact Algorithm for the Generalized List $T$-Coloring Problem
The generalized list T -coloring is a common generalization of many graph coloring models, including classical coloring, L(p, q)-labeling, channel assignment and T -coloring. Every vertex from the input graph has a list of permitted labels. Moreover, every edge has a set of forbidden differences. We ask for such a labeling of vertices of the input graph with natural numbers, in which every vert...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2011
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2010.07.005