Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...
A d-dimensional array of real numbers is called monotone increasing if its entries are increasing along each dimension. Given An,d, a monotone increasing d-dimensional array with ...
Abstract. The web graph is a real-world self-organizing network whose vertices correspond to web pages, and whose edges correspond to links between pages. Many stochastic models fo...
A sequence of the form s1s2 . . . sms1s2 . . . sm is called a repetition. A vertex-coloring of a graph is called nonrepetitive if none of its paths is repetitively colored. We ans...
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Let EN = (e1, e2, . . . , eN ) be a binary sequence with ei {+1, -1}. For 2 k N, the correlation measure of order k of the sequence is defined by Mauduit and S
A path bundle is a set of 2a paths in an n-cube, denoted Qn, such that every path has the same length, the paths partition the vertices of Qn, the endpoints of the paths form two s...
Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials ...