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CPC
2007
88views more  CPC 2007»
15 years 6 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
JCO
2006
153views more  JCO 2006»
15 years 6 months ago
Efficient point coverage in wireless sensor networks
We study minimum-cost sensor placement on a bounded 3D sensing field, R, which comprises a number of discrete points that may or may not be grid points. Suppose we have types of se...
Jie Wang, Ning Zhong
EJC
2007
15 years 6 months ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
EJC
2007
15 years 6 months ago
Minimal paths and cycles in set systems
A minimal k-cycle is a family of sets A0, . . . , Ak−1 for which Ai ∩ Aj = ∅ if and only if i = j or i and j are consecutive modulo k. Let fr(n, k) be the maximum size of a ...
Dhruv Mubayi, Jacques Verstraëte
MMS
2008
15 years 6 months ago
Processes of photo book production
Personal photo books are a popular means of capturing important moments and people have ever created this kind of multimedia presentations. With the advent of digital photography ...
Philipp Sandhaus, Sabine Thieme, Susanne Boll