Hilbert-Samuel Multiplicity of a Bipartite Graph

Priya Das; Himadri Mukherjee

Hilbert-Samuel Multiplicity of a Bipartite Graph

Commutative Algebra 2014-06-25 v2

Authors: Priya Das , Himadri Mukherjee

Abstract

Let $G$ be a bipartite graph and $I(G)$ the toric ideal associated to the graph $G$ . In this article we calculate Hilbert-Samuel multiplicity of the graph $G$ for which the toric ideal $I(G)$ is generated by a quadratic binomials and it satiesfies some conditions.

Keywords

bipartite graph toric ideal hilbert-samuel multiplicity quadratic binomials commutative algebra

Cite

@article{arxiv.1406.2603,
  title  = {Hilbert-Samuel Multiplicity of a Bipartite Graph},
  author = {Priya Das and Himadri Mukherjee},
  journal= {arXiv preprint arXiv:1406.2603},
  year   = {2014}
}

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