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DAGSTUHL
2006
13 years 9 months ago
Vertex reconstruction in Cayley graphs
In this report paper we collect recent results on the vertex reconstruction in Cayley graphs Cay(G, S). The problem is stated as the problem of reconstructing a vertex from the mi...
Elena V. Konstantinova
COMBINATORICS
2006
147views more  COMBINATORICS 2006»
13 years 7 months ago
A Survey on Packing and Covering Problems in the Hamming Permutation Space
Consider the symmetric group Sn equipped with the Hamming metric dH . Packing and covering problems in the finite metric space (Sn, dH ) are surveyed, including a combination of b...
Jörn Quistorff
EJC
2006
13 years 7 months ago
Two oiseau decompositions of permutations and their application to Eulerian calculus
: Two transformations are constructed that map the permutation group onto a well-defined subset of a partially commutative monoid generated by the so-called oiseaux. Those transfor...
Dominique Foata, Arthur Randrianarivony
AAECC
2009
Springer
140views Algorithms» more  AAECC 2009»
13 years 8 months ago
Interesting Examples on Maximal Irreducible Goppa Codes
In this paper a full categorization of irreducible classical Goppa codes of degree 4 and length 9 is given. It is an interesting example in the context of find the number of permut...
Marta Giorgetti
DAM
2008
101views more  DAM 2008»
13 years 7 months ago
Longest alternating subsequences of k-ary words
Recently, Stanley [13] studied the length of the longest alternating subsequence of a permutation in the symmetric group, where a sequence a, b, c, d, . . . is alternating if a &g...
Toufik Mansour