Some Meeting Points of Gröbner Bases and Combinatorics

Author:

Felszeghy Bálint,Rónyai Lajos

Publisher

Springer Berlin Heidelberg

Reference23 articles.

1. J. Abbott, A. Bigatti, M. Kreuzer, and L. Robbiano, Computing ideals of points, J. Symbol. Comput., 30 (2000), 341–356.

2. R. P. Anstee, L. Rónyai, and A. Sali, Shattering news, Graphs Comb., 18 (2002), 59–73.

3. B. Buchberger, Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Doctoral thesis, University of Innsbruck, 1965. English translation: An algorithm for finding the basis elements in the residue class ring modulo a zero dimensional polynomial ideal. J. Symbol. Comput., Special Issue on Logic, Mathematics, and Computer Science: Interactions, 41 (2006), 475–511.

4. B. Buchberger, Ein algorithmisches Kriterium fur die Lösbarkeit eines algebraischen Gleichungssystems, Aequationes mathematicae, 4 (1970), 374–383. English translation: An algorithmic criterion for the solvability of algebraic systems of equations, in B. Buchberger, F. Winkler (eds.) Gröbner Bases and Applications, London Mathematical Society Lecture Note Series, Vol. 251, pp. 535–545, Cambridge University Press, Cambridge, 1998.

5. B. Buchberger, Gröbner-Bases: An algorithmic method in polynomial ideal theory, in N. K. Bose (ed.) Multidimensional Systems Theory – Progress, Directions and Open Problems in Multidimensional Systems Theory, pp. 184–232, Reidel, Dordrecht, 1985. Chapter 6.

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