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» On Generalized Schur Numbers
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CCCG
2004
13 years 11 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
JGT
2006
98views more  JGT 2006»
13 years 9 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
RSA
2002
81views more  RSA 2002»
13 years 9 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
JUCS
2010
130views more  JUCS 2010»
13 years 8 months ago
On the Linear Number of Matching Substrings
Abstract: We study the number of matching substrings in the pattern matching problem. In general, there can be a quadratic number of matching substrings in the size of a given text...
Yo-Sub Han
CDC
2010
IEEE
115views Control Systems» more  CDC 2010»
13 years 4 months ago
Distributed statistical estimation of the number of nodes in sensor networks
The distributed estimation of the number of active sensors in a network can be important for estimation and organization purposes. We propose a design methodology based on the foll...
Damiano Varagnolo, Gianluigi Pillonetto, Luca Sche...