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SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 8 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
SIAMDM
2010
170views more  SIAMDM 2010»
13 years 2 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
ACSD
2006
IEEE
106views Hardware» more  ACSD 2006»
14 years 1 months ago
On the Complexity of Consistency and Complete State Coding for Signal Transition Graphs
Signal Transition Graphs (STGs) are a popular formalism for the specification of asynchronous circuits. A necessary condition for the implementability of an STG is the existence ...
Javier Esparza, Petr Jancar, Alexander Miller
MCSS
2006
Springer
13 years 7 months ago
Global complete observability and output-to-state stability imply the existence of a globally convergent observer
In this paper we consider systems which are globally completly observable and output-to-state stable. The former property guarantees the existence of coordinates such that the dyna...
Alessandro Astolfi, Laurent Praly
APN
2006
Springer
13 years 11 months ago
Complete Finite Prefixes of Symbolic Unfoldings of Safe Time Petri Nets
Abstract. Time Petri nets have proved their interest in modeling realtime concurrent systems. Their usual semantics is defined in term of firing sequences, which can be coded in a ...
Thomas Chatain, Claude Jard