Kombinatorik algebra ialah bidang matematik yang menggunakan kaedah algebra niskala, terutamanya teori kumpulan dan teori perwakilan, dalam pelbagai konteks kombinatorik dan, sebaliknya, menggunakan teknik kombinatorik untuk masalah dalam algebra.
Petikan
Karya dipetik
- Bailey, Rosemary A. (2004). Association Schemes: Designed Experiments, Algebra and Combinatorics. Cambridge University Press. ISBN 978-0-521-82446-0. MR 2047311.. (Chapters from preliminary draft are available on-line.)
- Bannai, Eiichi (2012). "Algebraic Combinatorics" (PDF). School of Mathematical Sciences Shanghai Jiao Tong University. Dicapai pada 30 Januari 2022.
- Bannai, Eiichi; Ito, Tatsuro (1984). Algebraic combinatorics I: Association schemes. Menlo Park, CA: The Benjamin/Cummings Publishing Co. ISBN 0-8053-0490-8. MR 0882540.
- Brouwer, Andries E.; Haemers, Willem H. (n.d.). Spectra of Graphs (PDF). m/s. 101. Diarkibkan daripada yang asal (PDF) pada 16 Mac 2012.
- Godsil, Chris; Royle, Gordon (2001). Algebraic Graph Theory. Graduate Texts in Mathematics. New York: Springer-Verlag. m/s. 218. ISBN 978-0-387-95241-3.
- Godsil, Chris D. (1993). Algebraic Combinatorics. New York: Chapman and Hall. ISBN 0-412-04131-6. MR 1220704.
- Kashyap, Navin; Soljanin, Emina; Vontobel, Pascal (2–7 Ogos 2009). "Applications of Matroid Theory and Combinatorial Optimization to Information and Coding Theory" (PDF). BIRS. Dicapai pada 4 Oktober 2014.
- Neel, David L.; Neudauer, Nancy Ann (2009). "Matroids you have known" (PDF). Mathematics Magazine. 82 (1): 26–41. doi:10.4169/193009809x469020.
- Zieschang, Paul-Hermann (2005a). "Association Schemes: Designed Experiments, Algebra and Combinatorics by Rosemary A. Bailey, Review" (PDF). Bulletin of the American Mathematical Society. 43 (2): 249–253. doi:10.1090/S0273-0979-05-01077-3.
- Zieschang, Paul-Hermann (2005b). Theory of association schemes. Springer. ISBN 3-540-26136-2.
Bacaan lanjut
- Billera, Louis J.; Björner, Anders; Greene, Curtis; Simion, Rodica; Stanley, Richard P., penyunting (1999). New Perspectives in Algebraic Combinatorics. MSRI Publications. 38. Cambridge University Press. ISBN 052177087-4.
- Hibi, Takayuki (1992). Algebraic combinatorics on convex polytopes. Glebe, Australia: Carslaw Publications. ISBN 1875399046. OCLC 29023080.
- Hochster, Melvin (1977). "Cohen–Macaulay rings, combinatorics, and simplicial complexes". 26. Dekker. m/s. 171–223. ISBN 0-8247-6575-3. OCLC 610144046. https://archive.org/details/ringtheoryiiproc0026ring.
- Miller, Ezra; Sturmfels, Bernd (2005). [[[:Templat:GBurl]] Combinatorial commutative algebra] Check
|url=value (bantuan). Graduate Texts in Mathematics. 227. Springer. ISBN 0-387-22356-8. Zbl 1066.13001. - Stanley, Richard P. (1996). [[[:Templat:GBurl]] Combinatorics and commutative algebra] Check
|url=value (bantuan). Progress in Mathematics. 41 (ed. 2nd). Birkhäuser. ISBN 0-8176-3836-9. Zbl 0838.13008. - Sturmfels, Bernd (1996). Gröbner bases and convex polytopes. University Lecture Series. 8. American Mathematical Society. ISBN 0-8218-0487-1. OCLC 907364245. Zbl 0856.13020 – melalui Internet Archive.
- Zeilberger, Doron (2008). "Enumerative and Algebraic Combinatorics" (PDF). The Princeton Companion to Mathematics. Princeton University Press.
Pautan luar
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