The ODD EVEN DELTA problem is #P-hard
Computational Complexity
2013-01-01 v1
Abstract
Let G=(V,E) be a graph. Let k < |V| be an integer. Let O_k be the number of edge induced subgraphs of G having k vertices and an odd number of edges. Let E_k be the number of edge induced subgraphs of G having k vertices and an even number of edges. Let D_k = O_k - E_k. The ODD EVEN DELTA problem consists in computing D_k, given G and k. We show that such problem is #P-hard, even on 3-regular bipartite planar graphs.
Cite
@article{arxiv.1212.6935,
title = {The ODD EVEN DELTA problem is #P-hard},
author = {Giorgio Camerani},
journal= {arXiv preprint arXiv:1212.6935},
year = {2013}
}
Comments
3 pages