Rafael H. Villarreal

Algebra and Number Theory · 2005–2011

A researcher in the Science corpus: 6 papers; trusts 13 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 38 citations into it; #690 of 2,864 by trust here, #405 by citations
• Computational Theory and Mathematics — 38 citations into it; #3,730 of 12,182 by trust here, #3,681 by citations
• Geometry and Topology — 23 citations into it; #2,425 of 7,422 by trust here, #2,024 by citations
• Discrete Mathematics and Combinatorics — 5 citations into it; #1,865 of 2,017 by trust here, #1,051 by citations

Whom Rafael H. Villarreal trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Xinxian Zheng
2. Jürgen Herzog
3. Susan Morey
4. Sara Faridi
5. Isidoro Gitler
6. Alexander Schrijver
7. Adam Van Tuyl
8. Takayuki Hibi
9. Dimitris J. Bertsimas
10. Huy Tài Hà

Who trusts Rafael H. Villarreal overall

1. Jürgen Herzog
2. K. Kimura
3. Adam Van Tuyl
4. Huy Tài Hà
5. Susan Morey
6. Arindam Banerjee

Papers from Rafael H. Villarreal's perspective

Ordered by how strongly the researchers Rafael H. Villarreal trusts endorse each paper. Same corpus, a different order for every researcher.

1. Resolutions of Facet Ideals
2. The facet ideal of a simplicial complex
3. A Note on Rees Algebras and the MFMC Property
4. Blowup algebras of ideals of vertex covers of bipartite graphs
5. Combinatorial Commutative Algebra
6. Sequentially Cohen–Macaulay bipartite graphs: vertex decomposability and regularity
7. Sequentially Cohen-Macaulay edge ideals
8. Regularity, depth and arithmetic rank of bipartite edge ideals
9. Regularity and dimension spectrum of the equivariant spectral triple for the odd dimensional quantum spheres
10. Saturation and Castelnuovo–Mumford regularity

Their papers

• Edge ideals: algebraic and combinatorial properties (2010) — 218 citations
• Blowup algebras of ideals of vertex covers of bipartite graphs (2005) — 73 citations
• Associated primes of powers of edge ideals (2011) — 106 citations
• Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems (2006) — 58 citations
• COHEN-MACAULAY, SHELLABLE AND UNMIXED CLUTTERS WITH A PERFECT MATCHING OF K ¨ (2007) — 52 citations
• A Note on Rees Algebras and the MFMC Property (2005) — 59 citations