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COMPGEOM
2007
ACM
13 years 11 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
DM
2008
73views more  DM 2008»
13 years 7 months ago
A note on edge-graceful spectra of the square of paths
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
Tao-Ming Wang, Cheng-Chih Hsiao, Sin-Min Lee
DCC
2007
IEEE
14 years 7 months ago
Low-density attack revisited
The low-density attack proposed by Lagarias and Odlyzko is a powerful algorithm against the subset sum problem. The improvement algorithm due to Coster et al. would solve almost a...
Tetsuya Izu, Jun Kogure, Takeshi Koshiba, Takeshi ...
JCT
2007
78views more  JCT 2007»
13 years 7 months ago
Projective-planar signed graphs and tangled signed graphs
A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex...
Daniel C. Slilaty
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
13 years 7 months ago
Arranging Numbers on Circles to Reach Maximum Total Variations
The dartboard problem is to arrange n numbers on a circle to obtain maximum risk, which is the sum of the q-th power of the absolute differences of adjacent
Ying-Jie Liao, Min-Zheng Shieh, Shi-Chun Tsai