The authors look forward to studying whether this method can be applied to combinatorial problems other than the graph coloring problem. Source: “Collective dynamics of phase-repulsive oscillators ...

Calculate the color support count for each vertex. Returns an array where each element is the number of available colors for the corresponding vertex. """ num_colors = len (set ( [i for i in ...

To represent the graph internally, we decided to adopt the adjacency list representation. This representation is optimal for this kind of problem since all coloring algorithms require that, given a ...

Keywords: Planar graph list 2 2 -distance coloring cycles maximum degree AMSC: 05C10, 05C15, 68R10 ...

Graph Coloring as a SAT Problem On the other hand, coloring the graph with a Boolean satisfiability (SAT) solver is quite feasible. The solver need only find one possible solution, and so it does not ...

Abstract List coloring is an NP-complete decision problem even if the total number of colors is three. It is hard even on planar bipartite graphs. We give a polynomial-time algorithm for solving list ...

In this paper we present a correlation between a variation of the list problem coloring in graphs, the (γ, μ)-coloring, and the property of choosability in graphs, resulting in the k-(γ, ...