Castelnuovo-Mumford Regularity of Graphs

Author:

Biyikoğlu Türker,Civan Yusuf

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Reference35 articles.

1. M. Adamaszek: Splittings of independence complexes and the powers of cycles, Journal of Combinatorial Theory Series A 119 (2012), 1031–1047.

2. D. Attali, A. Lieutier and D. Salinas: Efficient data structure for representing and simplifying simplicial complexes in high dimensions, International Journal of Computational Geometry and Applications 22 (2012), 279–303.

3. T. Biyikoğlu and Y. Civan: Four-cycled graphs with topological applications, Annals of Combinatorics 16 (2012), 37–56.

4. T. Biyikoğlu and Y. Civan: Bounding Castelnuovo-Mumford regularity of graphs via Lozin’s operations, unpublished manuscript, available at arXiv:1302.3064, 2013.

5. T. Biyikoğlu and Y. Civan: Vertex-decomposable graphs, codismantlability, Cohen-Macaulayness, and Castelnuovo-Mumford regularity, Electronic Journal of Combinatorics, 21(1):#P1, 2014.

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1. The v-number and Castelnuovo–Mumford regularity of graphs;Journal of Algebraic Combinatorics;2022-08-12

2. The $$\mathrm {v}$$-number of monomial ideals;Journal of Algebraic Combinatorics;2022-06-20

3. Induced matching numbers of finite graphs and edge ideals;Journal of Algebra;2019-08

4. Prime graphs, matchings and the Castelnuovo-Mumford regularity;Journal of Commutative Algebra;2019-02-01

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