Title
Exact Perfect Matching in Complete Graphs.
Abstract
A red-blue graph is a graph where every edge is colored either red or blue. The exact perfect matching problem asks for a perfect matching in a red-blue graph that has exactly a given number of red edges. We show that for complete and bipartite complete graphs, the exact perfect matching problem is logspace equivalent to the perfect matching problem. Hence, an efficient parallel algorithm for perfect matching would carry over to the exact perfect matching problem for this class of graphs. We also report some progress in extending the result to arbitrary graphs.
Year
DOI
Venue
2017
10.1145/3041402
TOCT
Keywords
DocType
Volume
Perfect matching,exact perfect matching,complete graphs,computational complexity
Journal
9
Issue
ISSN
Citations 
2
1942-3454
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
Rohit Gurjar1386.80
Arpita Korwar2293.60
Jochen Messner3704.86
Thomas Thierauf428833.59