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» On the Hardness of Graph Isomorphism
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DM
2008
177views more  DM 2008»
13 years 9 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
JCT
2011
83views more  JCT 2011»
13 years 3 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
DATE
2009
IEEE
89views Hardware» more  DATE 2009»
14 years 3 months ago
Robust non-preemptive hard real-time scheduling for clustered multicore platforms
—Scheduling task graphs under hard (end-to-end) timing constraints is an extensively studied NP-hard problem of critical importance for predictable software mapping on Multiproce...
Michele Lombardi, Michela Milano, Luca Benini
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 9 months ago
Hardness of the undirected congestion minimization problem
We show that there is no log log M log log log M -approximation for the undirected congestion minimization problem unless NP ZPTIME(npolylog n ), where M is the size of the grap...
Matthew Andrews, Lisa Zhang
FUIN
2000
68views more  FUIN 2000»
13 years 8 months ago
Models For Dependable Computation with Multiple Inputs and Some Hardness Results
We consider the problem of dependable computation with multiple inputs. The goal is to study when redundancy can help to achieve survivability and when it cannot. We use AND/OR gra...
Yongge Wang, Yvo Desmedt, Mike Burmester