Title
Planarizing gadgets for perfect matching do not exist
Abstract
To reduce a graph problem to its planar version, a standard technique is to replace crossings in a drawing of the input graph by planarizing gadgets. We show unconditionally that such a reduction is not possible for the perfect matching problem and also extend this to some other problems related to perfect matching. We further show that there is no planarizing gadget for the Hamiltonian cycle problem.
Year
DOI
Venue
2011
10.1145/2934310
TOCT
Keywords
DocType
Volume
planarizing gadget,standard technique,planar version,perfect matching problem,perfect matching,graph problem,hamiltonian cycle problem,input graph
Journal
8
Issue
ISSN
Citations 
4
1942-3454
0
PageRank 
References 
Authors
0.34
21
5
Name
Order
Citations
PageRank
Rohit Gurjar1386.80
Arpita Korwar2293.60
Jochen Messner3704.86
Simon Straub400.34
Thomas Thierauf528833.59