New inequalities for subspace arrangements

Journal of Combinatorial Theory. Series A

Volumn 118, Issue 1, 2011, Pages 152-161

  Kinser, Ryan ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Matroids; Polymatroids; Rank functions; Realizable; Subspace arrangements

Indexed keywords

EID: 78149410461     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2009.10.014     Document Type: Article

References (11)

1. Barvinok Alexander A Course in Convexity. Grad. Stud. Math. 2002, vol. 54. Amer. Math. Soc., Providence, RI.
2. Brylawski Thomas Constructions. Encyclopedia Math. Appl. 1986, vol. 26:127-223. Cambridge Univ. Press, Cambridge.
3. Randall Dougherty, Chris Freiling, Kenneth Zeger, Six new non-shannon information inequalities, in: IEEE International Symposium on Information Theory, Seattle, Washington, 2006, pp. 233-236.
4. Guillé Laurent, Chan Terence, Grant Alex On the minimal set of Ingleton inequalities arxiv:0802.2574.
5. Hammer Daniel, Romashchenko Andrei, Shen Alexander, Vereshchagin Nikolai Inequalities for Shannon entropy and Kolmogorov complexity. J. Comput. System Sci. 2000, 60(2):442-464. (part 2).
6. Ingleton A.W. Representation of matroids. Combinatorial Mathematics and Its Applications, Proc. Conf. 1971, 149-167. Academic Press, London.
7. František Matúš, Infinitely many information inequalities, in: IEEE International Symposium on Information Theory, Nice, France, June 2007, pp. 41-44.
8. Mustaţǎ Mircea Lectures on toric varieties, Chapter 2: Elements of convex geometry available at. http://www.math.lsa.umich.edu/~mmustata/.
9. Nicoletti Giorgio, White Neil Axiom systems. Encyclopedia Math. Appl. 1986, vol. 26:29-44. Cambridge Univ. Press, Cambridge.
10. Stanley Richard P. Enumerative Combinatorics, vol. 1. Cambridge Stud. Adv. Math. 1997, vol. 49. Cambridge Univ. Press, Cambridge, with a foreword by Gian-Carlo Rota, corrected reprint of the 1986 original.
11. Zhang Zhen, Yeung Raymond On characterization of entropy function via information inequalities. IEEE Trans. Inform. Theory July 1998, 44(4):1440-1452.