The ODD EVEN DELTA problem is #P-hard

Giorgio Camerani

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arXiv · 1212.6935

The ODD EVEN DELTA problem is #P-hard

Giorgio Camerani

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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.

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Giorgio Camerani. 2012-12-31. The ODD EVEN DELTA problem is #P-hard. https://arxiv.org/abs/1212.6935

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