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ARSCOM
2002
70views more  ARSCOM 2002»
14 years 11 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...
CDC
2008
IEEE
122views Control Systems» more  CDC 2008»
15 years 6 months ago
On the number of leaders needed to ensure network connectivity
— In this paper we examine the leader-to-follower ratio needed to maintain connectivity in a leader-follower multiagent network with proximity based communication topology. In th...
Dimos V. Dimarogonas, Tove Gustavi, Magnus Egerste...
DM
2008
119views more  DM 2008»
14 years 12 months ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
APPML
2008
82views more  APPML 2008»
14 years 12 months ago
The k-tuple domination number revisited
The following fundamental result for the domination number (G) of a graph G was proved by Alon and Spencer, Arnautov, Lov
Vadim E. Zverovich
MST
2006
99views more  MST 2006»
14 years 11 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe