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DM
2008
55views more  DM 2008»
13 years 4 months ago
Improved pebbling bounds
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...
Melody Chan, Anant P. Godbole
DM
2008
50views more  DM 2008»
13 years 4 months ago
Searching monotone multi-dimensional arrays
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 ...
Yongxi Cheng, Xiaoming Sun, Yiqun Lisa Yin
DM
2008
81views more  DM 2008»
13 years 4 months ago
The diameter of protean graphs
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...
Pawel Pralat
DM
2008
110views more  DM 2008»
13 years 4 months ago
Nonrepetitive colorings of graphs of bounded tree-width
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...
André Kündgen, Michael J. Pelsmajer
DM
2008
88views more  DM 2008»
13 years 4 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
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 ...
Tobias Müller, Attila Pór, Jean-S&eacu...
DM
2008
88views more  DM 2008»
13 years 4 months ago
A technique to study the correlation measures of binary sequences
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
Venkat Anantharam
DM
2008
70views more  DM 2008»
13 years 4 months ago
Enumeration of (k, 2)-noncrossing partitions
A set partition is said to be (k, d)-noncrossing if it avoids the pattern 12
Toufik Mansour, Simone Severini
DM
2008
68views more  DM 2008»
13 years 4 months ago
Path bundles on n-cubes
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...
Matthew Elder
DM
2008
97views more  DM 2008»
13 years 4 months ago
On the integral ring spanned by genus two weight enumerators
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 ...
Manabu Oura