BibTex RIS Kaynak Göster

On the rank functions of $\mathcal{H}$-matroids

Yıl 2016, , 7 - 11, 11.01.2016
https://doi.org/10.13069/jacodesmath.26764

Öz

The notion of $\mathcal{H}$-matroids was introduced by U. Faigle and S. Fujishige in 2009 as a general model for matroids and the greedy algorithm. They gave a characterization of $\mathcal{H}$-matroids by the greedy algorithm. In this note, we give a characterization of some $\mathcal{H}$-matroids by rank functions.

Kaynakça

  • U. Faigle, S. Fujishige, A general model for matroids and the greedy algorithm, Math. Program. Ser.
  • A 119(2) (2009) 353–369.
  • S. Fujishige, Submodular functions and optimization, Annals of Discrete Mathematics, Elsevier, Amsterdam, 2005.
  • S. Fujishige, G. A. Koshevoy, Y. Sano, Matroids on convex geometries (cg-matroids), Discrete Math. 307(15) (2007) 1936–1950.
  • B. Korte, L. Lovász, R. Schrader, Greedoids, Algorithms and combinatorics, Vol. 4, Springer-Verlag, Berlin, 1991.
  • J. Oxley, Matroid theory, Oxford University Press, Oxford, 1992.
  • Y. Sano, Rank functions of strict cg-matroids, Discrete Math. 38(20) (2008) 4734–4744.
  • Y. Sano, Matroids on convex geometries: subclasses, operations, and optimization, Publ. Res. Inst.
  • Math. Sci. 47(3) (2011) 671–703.
  • A. Schrijver, Combinatorial optimization. Polyhedra and Efficiency, Algorithms and Combinatorics, Vol. 24, Springer-Verlag, Berlin, 2003.
  • D. J. A. Welsh, Matroid theory, Academic Press, London, 1976.
  • H. Whitney, On the abstract properties of linear dependence, Amer. J. Math. 57(3) (1935) 509–533.

2010 MSC: 05B35, 90C27

Yıl 2016, , 7 - 11, 11.01.2016
https://doi.org/10.13069/jacodesmath.26764

Öz

Kaynakça

  • U. Faigle, S. Fujishige, A general model for matroids and the greedy algorithm, Math. Program. Ser.
  • A 119(2) (2009) 353–369.
  • S. Fujishige, Submodular functions and optimization, Annals of Discrete Mathematics, Elsevier, Amsterdam, 2005.
  • S. Fujishige, G. A. Koshevoy, Y. Sano, Matroids on convex geometries (cg-matroids), Discrete Math. 307(15) (2007) 1936–1950.
  • B. Korte, L. Lovász, R. Schrader, Greedoids, Algorithms and combinatorics, Vol. 4, Springer-Verlag, Berlin, 1991.
  • J. Oxley, Matroid theory, Oxford University Press, Oxford, 1992.
  • Y. Sano, Rank functions of strict cg-matroids, Discrete Math. 38(20) (2008) 4734–4744.
  • Y. Sano, Matroids on convex geometries: subclasses, operations, and optimization, Publ. Res. Inst.
  • Math. Sci. 47(3) (2011) 671–703.
  • A. Schrijver, Combinatorial optimization. Polyhedra and Efficiency, Algorithms and Combinatorics, Vol. 24, Springer-Verlag, Berlin, 2003.
  • D. J. A. Welsh, Matroid theory, Academic Press, London, 1976.
  • H. Whitney, On the abstract properties of linear dependence, Amer. J. Math. 57(3) (1935) 509–533.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Yoshio Sano Bu kişi benim

Yayımlanma Tarihi 11 Ocak 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Sano, Y. (2016). On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications, 3(1), 7-11. https://doi.org/10.13069/jacodesmath.26764
AMA Sano Y. On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications. Ocak 2016;3(1):7-11. doi:10.13069/jacodesmath.26764
Chicago Sano, Yoshio. “On the Rank Functions of $\mathcal{H}$-Matroids”. Journal of Algebra Combinatorics Discrete Structures and Applications 3, sy. 1 (Ocak 2016): 7-11. https://doi.org/10.13069/jacodesmath.26764.
EndNote Sano Y (01 Ocak 2016) On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications 3 1 7–11.
IEEE Y. Sano, “On the rank functions of $\mathcal{H}$-matroids”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy. 1, ss. 7–11, 2016, doi: 10.13069/jacodesmath.26764.
ISNAD Sano, Yoshio. “On the Rank Functions of $\mathcal{H}$-Matroids”. Journal of Algebra Combinatorics Discrete Structures and Applications 3/1 (Ocak 2016), 7-11. https://doi.org/10.13069/jacodesmath.26764.
JAMA Sano Y. On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3:7–11.
MLA Sano, Yoshio. “On the Rank Functions of $\mathcal{H}$-Matroids”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy. 1, 2016, ss. 7-11, doi:10.13069/jacodesmath.26764.
Vancouver Sano Y. On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3(1):7-11.