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» On the number of rectangular partitions
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ISCC
2007
IEEE
108views Communications» more  ISCC 2007»
14 years 1 months ago
Recursively Partitioned Static IP Router-Tables
We propose a method–recursive partitioning–to partition a static IP router table so that when each partition is represented using a base structure such as a multibit trie or a...
Wencheng Lu, Sartaj Sahni
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 6 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
DAM
2007
141views more  DAM 2007»
13 years 6 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
JCT
2006
60views more  JCT 2006»
13 years 6 months ago
On the number of rectangulations of a planar point set
We investigate the number of different ways in which a rectangle containing a set of n noncorectilinear points can be partitioned into smaller rectangles by n (non-intersecting) s...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
CPC
2004
136views more  CPC 2004»
13 years 6 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell