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» Lower bounds on the obstacle number of graphs
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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
FOCS
2008
IEEE
14 years 2 months ago
Submodular Approximation: Sampling-based Algorithms and Lower Bounds
We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems i...
Zoya Svitkina, Lisa Fleischer
ISSS
2000
IEEE
127views Hardware» more  ISSS 2000»
14 years 6 days ago
Lower Bound Estimation for Low Power High-Level Synthesis
This paper addresses the problem of estimating lower bounds on the power consumption in scheduled data flow graphs with a fixed number of allocated resources prior to binding. T...
Lars Kruse, Eike Schmidt, Gerd Jochens, Ansgar Sta...
COMGEO
2007
ACM
13 years 7 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
ESA
2004
Springer
145views Algorithms» more  ESA 2004»
14 years 1 months ago
Flows on Few Paths: Algorithms and Lower Bounds
Abstract. Classical network flow theory allows decomposition of flow into several chunks of arbitrary sizes traveling through the network on different paths. In the first part ...
Maren Martens, Martin Skutella