JCT
2008
13 years 4 months ago
2008
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both ...
COMBINATORICS
2007
13 years 4 months ago
2007
![The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor](https://www.sciweavers.org/files/imagecache/thumbnail/default/content.jpg "The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor")
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
COMBINATORICS
2007
13 years 4 months ago
2007
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
CPC
2006
13 years 4 months ago
2006
We derive the distribution of the number of links and the average weight for the shortest path tree (SPT) rooted at an arbitrary node to m uniformly chosen nodes in the complete g...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
AUTOMATICA
2006
13 years 4 months ago
2006
Given a nonlinear system and a performance index to be minimized, we present a general approach to expressing the finite time optimal feedback control law applicable to different ...
DCG
2008
13 years 4 months ago
2008
Abstract We express the generating function for lattice points in a rational polyhedral cone with a simplicial subdivision in terms of multivariate analogues of the h-polynomials o...
CORR
2008
Springer
13 years 4 months ago
2008
Springer
This paper concerns the capacity of the discrete noiseless channel introduced by Shannon. A sufficient condition is given for the capacity to be well-defined. For a general discre...
VTC
2006
IEEE
13 years 10 months ago
2006
IEEE
— In this paper, we study the MAC access delay of EDCA in the draft IEEE 802.11e standard under saturated conditions. We obtain explicit expressions for the mean, the standard de...