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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 51358 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Pournaki, Mohammad Reza
- Abstract:
- set V = {1; : : : ; n}. Let K be a field and let S be the polynomial ring K[x1; : : : ; xn].The edge ideal I(G), associated to G, is the ideal of S generated by the set of squarefree monomials xi xj so that i is adjacent to j. The graph G is Cohen–Macaulay over K if S=I(G) is a Cohen–Macaulay ring. In this project we will explain Herzog-Hibi’s classification of all Cohen–Macaulay bipartite graphs
- Keywords:
- Edge Ideal ; Bipartite Graph ; Cohen-Macualay Modules ; Polynominal Ring
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