226 search results - page 7 / 46 » Lower bounds on the obstacle number of graphs |
JGT
2010
13 years 6 months ago
2010
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
FOCS
2006
IEEE
14 years 1 months ago
2006
IEEE
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
COCOON
2007
Springer
14 years 2 months ago
2007
Springer
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
STOC
1995
ACM
13 years 11 months ago
1995
ACM
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
SODA
2004
ACM
13 years 9 months ago
2004
ACM
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...