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arXiv · 1110.2841

Projective Dimension, Graph Domination Parameters, and Independence Complex Homology

Hailong Dao·Jay Schweig
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Abstract

We construct several pairwise-incomparable bounds on the projective dimensions of edge ideals. Our bounds use combinatorial properties of the associated graphs; in particular we draw heavily from the topic of dominating sets. Through Hochster's Formula, these bounds recover and strengthen existing results on the homological connectivity of graph independence complexes.

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Hailong Dao, Jay Schweig. 2011-10-22. Projective Dimension, Graph Domination Parameters, and Independence Complex Homology. https://arxiv.org/abs/1110.2841

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