On the computational complexity of partial covers of Theta graphs

By use of elementary geometric arguments we prove the existence of a special integral solution of a certain system of linear equations. The existence of such a solution yields then the NP-hardness of the decision problem on the existence of locally injective homomorphisms to certain Theta graphs.

• Type: Journal
• Year: 2008
• Where: DAM
• Authors: Jirí Fiala, Jan Kratochvíl, Attila Pór
• Keywords: Certain Theta Graphs, DAM 2008, Elementary Geometric Arguments, Special Integral Solution