SIAMDM
2000
14 years 7 days ago
2000
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
SIAMDM
2000
14 years 7 days ago
2000
A graph is a split graph if its vertices can be partitioned into a clique and a stable set. A graph is a k-split graph if its vertices can be partitioned into k sets, each of which...
SIAMDM
2000
14 years 7 days ago
2000
SIAMDM
2000
14 years 7 days ago
2000
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
SIAMDM
2000
14 years 7 days ago
2000
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
SIAMDM
2000
14 years 7 days ago
2000
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...