A Parallel Distance-2 Graph Coloring Algorithm for Distributed Memory Computers

Abstract. The distance-2 graph coloring problem aims at partitioning the vertex set of a graph into the fewest sets consisting of vertices pairwise at distance greater than two from each other. Application examples include numerical optimization and channel assignment. We present the first distributed-memory heuristic algorithm for this NP-hard problem. Parallel speedup is achieved through graph partitioning, speculative (iterative) coloring, and a BSP-like organization of computation. Experimental results show that the algorithm is scalable, and compares favorably with an alternative approach—solving the problem on a graph G by first constructing the square graph G2 and then applying a parallel distance-1 coloring algorithm on G2 .

• Type: Conference
• Year: 2005
• Where: HPCC
• Authors: Doruk Bozdag, Ümit V. Çatalyürek, Assefaw Hadish Gebremedhin, Fredrik Manne, Erik G. Boman, Füsun Özgüner
• Keywords: Distance-1 Coloring Algorithm, Distributed-memory Heuristic Algorithm, Graph Coloring Problem, HPCC 2005