In this note, a direct proof is given of the NP-completeness of a variant of GRAPH COLORING, i.e., a generic proof is given, similar to the proof of Cook of the NP-completeness of SATISFIABILITY. Then, transformations from this variant of GRAPH COLORING to INDEPENDENT SET and to SATISFIABILITY are given. These proofs could be useful in an educational setting, where basics of the theory of NP-completeness must be explained to students whose background in combinatorial optimisation and/or graph theory is stronger than their background in logic. In addition, I believe that the proof given here is slightly easier than older generic proofs of NP-completeness
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
In this note, a direct proof is given of the NP-completeness of a variant of GRAPH COLORING, i.e., a...
AbstractIt is well known that the problem of graph k-colourability, for any k≥3, is NP-complete but ...
AbstractGiven a graph property P and positive integer k, a P k-coloring of a graph G is an assignmen...
AbstractWe show that the question “Is a graph 3-colorable?” remains NP-complete when restricted to t...
This paper studies the solution of graph coloring problems by encoding into propo-sitional satisabil...
AbstractIt is shown that two sorts of problems belong to the NP-complete class. First, it is proven ...
AbstractGiven a graph property P and positive integer k, a P k-coloring of a graph G is an assignmen...
AbstractIt is well known that the problem of graph k-colourability, for any k≥3, is NP-complete but ...
For graph classes \wp_1,...,\wp_k, Generalized Graph Coloring is the problem of deciding whether the...
We present new results on approximate colourings of graphs and, more generally, approximate H-colour...
In this thesis we study algorithmic aspects of two graph partitioning problems -- graph coloring and...
AbstractA graph is (r,s)-colourable if to each of its vertices we can assign r colours, from an avai...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
In this note, a direct proof is given of the NP-completeness of a variant of GRAPH COLORING, i.e., a...
AbstractIt is well known that the problem of graph k-colourability, for any k≥3, is NP-complete but ...
AbstractGiven a graph property P and positive integer k, a P k-coloring of a graph G is an assignmen...
AbstractWe show that the question “Is a graph 3-colorable?” remains NP-complete when restricted to t...
This paper studies the solution of graph coloring problems by encoding into propo-sitional satisabil...
AbstractIt is shown that two sorts of problems belong to the NP-complete class. First, it is proven ...
AbstractGiven a graph property P and positive integer k, a P k-coloring of a graph G is an assignmen...
AbstractIt is well known that the problem of graph k-colourability, for any k≥3, is NP-complete but ...
For graph classes \wp_1,...,\wp_k, Generalized Graph Coloring is the problem of deciding whether the...
We present new results on approximate colourings of graphs and, more generally, approximate H-colour...
In this thesis we study algorithmic aspects of two graph partitioning problems -- graph coloring and...
AbstractA graph is (r,s)-colourable if to each of its vertices we can assign r colours, from an avai...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...
Given a graph G, an automorphic edge(vertex)-coloring of G is a proper edge(vertex)-coloring such th...