Forschungsschwerpunkte:

• Geometrische Extremalprobleme
• Ungleichungen
• Codieren und Sortieren
• Höhere kombinatorische und zahlentheoretische Extremalprobleme

Publikationen 1994-97:

94-048   Rudolf Ahlswede, Peter Erdos, Niall Graham
         A Splitting Property of Maximal Antichains
         Combinatorica 15(4), 475-480, 1995

94-055   R. Ahlswede, L. A. Bassalygo, M. S. Pinsker
         Asymptotically Optimal Binary Codes of Polynomial 
         Complexity Correcting Localized Errors
         Proc. IV International Workshop on Algebraic and 
         Combinatorical Coding Theory, Novgorod, 
         Russia, 1-3, 1994

94-067   R. Ahlswede, S.L. Bezrukov                           
         Edge Isoperimetric Theorems for Integer 
         Point Arrays
         Applied Math. Letters, Vol. 8, No. 2, 75-80,1995

94-071   Rudolf Ahlswede, Levon H. Khachatrian 
         Splitting Properties in Partially Ordered Sets
         and Set Systems
         To appear in: Graphs and Combinatorics

94-080   Rudolf Ahlswede, Levon H. Khachatrian
         Maximal Sets of Numbers not Containing k + 1
         Pairwise Coprime Integers
         Acta Arithmetica LXXII, 1, 77-100, 1995

94-090   Rudolf Ahlswede, Ning Cai
         General Edge-Isoperimetric Inequalities
         To appear in: European J. Combin.

94-105   P.L. Erdös, L.A. Szekely
         General Edge-Isoperimetric Inequalities
         To appear in: Appl. Math.

95-001   Rudolf Ahlswede, Te Sun Han, Kingo Kobayashi
         Universal Coding of Integers and Unbounded Search Trees
         To appear in: IEEE Trans. Inform. Theory

95-013   Rudolf Ahlswede, Kingo Kobayashi
         A Simple Proof of the Hook Formula by a Staircase Identity

95-036   Rudolf Ahlswede, Levon H. Khachatrian
         Sets of Integers and Quasi-Integers with
            Pairwise Common Divisor
         Acta Arithmetica, LXXIV, 2, 141-153, 1996

95-045   Rudolf Ahlswede, Ning Cai
         Shadows and Isoperimetry under the
            Sequence--Subsequence Relation
         To appear in: Combinatorica

95-059   Rudolf Ahlswede, Levon H. Khachatrian
         Sets of Integers with Pairwise Common Divisor
            and a Factor from a Specified Set of Primes
         Acta Arithmetica, LXV, 3, 259-276, 1996

95-066   Rudolf Ahlswede, Levon H. Khachatrian
         The Complete Intersection Theorem for Systems  of Finite Sets
         To appear in: European J. Combin.

95-076   Rudolf Ahlswede, Noga Alon, Peter L. Erdös,
         Miklos Ruszinko, Laszlo A. Szekely Intersecting Systems
         To appear in: Combin. Probab. Comput.

95-092   H.D.L. Hollmann, P. Vanroose
         Entropy Reduction, Ordering in Sequence Spaces,
	    and Semigroups of Non-Negative Matrices

95-096   P.L. Erdös
         Splitting Property in Infinite Posets
         To appear in: Discrete Math.

95-102   Rudolf Ahlswede, Levon H. Khachatrian
         The Complete Nontrivial-Intersection Theorem 
            for Systems of Finite Sets
         J. Combin. Theory Ser. A, 121-138,1995

E95-009  Bernhard Balkenhol                                  
         Datenkompression mit Deterministischen Experten

96-013   Rudolf Ahlswede, Levon H. Khachatrian
         The Diametric Theorem in Hamming Spaces 
            --- Optimal Anticodes

96-031   U. Tamm
         The Influence of Memory on Creating Order
         To appear in: IEEE Trans. Inform. Theory

96-058   R. Ahlswede, Z. Zhang
         Code Pairs with Specified Parity
         of the Hamming Distances

96-088   Ulrich Tamm
         On Perfect 3- and 4-Shift N-Designs


96-092   L. A. Bassalygo, V. A. Zinoviev
         Exact Value of Module of Trigonometric Sums over
         a Finite Field for the Polynomials of Special Type
         To appear in: Uspehi Mathematicheskih Nauk, 
                       1997, No. 1


96-096   Jörg Bültermann
         A New Upper Bound for the Isoperimetric Number 
         of deBruijn Networks
         To appear in: Applied Math. Letters


96-116   Willem H. Haemers
         Disconnected Vertex Sets and Equidistant Code Pairs
         To appear in: Electronic Journal of Combinatorics


97-001   Yuri Bilu
         Sum-Free Sets and Related Sets


97-015   Victor Zinoviev
         On 3-Regular Subgraphs of 4-Regular Graphs with
         Multiple Edges

97-039   R. Ahlswede, B. Balkenhol, L. Khachatrian
         Some Properties of Fix-Free Codes

97-043   Rudolf Ahlswede, Levon H. Khachatrian
         A Pushing-Pulling Method: 
         New Proofs of Intersection Theorems

97-047   Rudolf Ahlswede, Ning Cai
         Isoperimetric Theorems in the Binary Sequences 
            of Finite Lengths

97-051   R. Ahlswede, H. Aydinian, L.H. Khachatrian
         The Intersection Theorem for Direct Products

97-100   R. Ahlswede, L.H. Khachatrian
         A Diametric Theorem for Edges

         und Systeme Teilweise Unabhängiger Zufallsvariablen

E97-001  Bernhard Balkenhol
         Problems in Sequential and Parallel Game Tree Search