Figure: The graph that we want to color with no neighboring nodes the same color. We want to color this graph so that no neighboring nodes have the same color. Graph coloring is a well-known hard ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

Abstract: Many modern applications are modeled using graphs of some kind. Given a graph, assigning labels (usually called colors) to vertices is called graph coloring. Colors must be assigned so that ...

Graph colouring, the assignment of colours to the vertices of a graph so that no two adjacent vertices share the same colour, represents a canonical NP-hard combinatorial optimisation problem with ...

Graph coloring is the de facto standard technique for register allocation within a compiler. In this paper we examine the importance of the quality of the coloring algorithm and various extensions of ...

1 Scholl of Maritime and Port Management Program, Yasar University, Izmir, Turkey. 2 Faculty of Mathematics, Ege University, Izmir, Turkey. Graph coloring is one of the most important, well-known and ...

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible. A paper posted online last month has disproved a ...