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...
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...
: 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...
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...
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...