SODA
2004
ACM
13 years 6 months ago
2004
ACM
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
In this paper, we extend Rothemund and Winfree's examination of the tile complexity of tile self-assembly [6]. They provided a lower bound of ( log N log log N ) on the tile ...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
We show that the point containment problem in the integer hull of a polyhedron, which is defined by m inequalities, with coefficients of at most bits can be solved in time O(m + ...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
SODA
2004
ACM
13 years 6 months ago
2004
ACM
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
How many ways can a rectangle be partitioned into smaller ones? We study two variants of this problem: when the partitions are constrained to lie on n given points (no two of whic...
SODA
2004
ACM
13 years 6 months ago
2004
ACM
We describe a machine model for automatically dynamizing static algorithms and apply it to historyindependent data structures. Static programs expressed in this model are dynamize...