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ALGORITHMICA
1998
73views more  ALGORITHMICA 1998»
13 years 7 months ago
Linear Probing and Graphs
Mallows and Riordan showed in 1968 that labeled trees with a small number of inversions are related to labeled graphs that are connected and sparse. Wright enumerated sparse connec...
Donald E. Knuth
STACS
2007
Springer
14 years 1 months ago
Testing Convexity Properties of Tree Colorings
A coloring of a graph is convex if it induces a partition of the vertices into connected subgraphs. Besides being an interesting property from a theoretical point of view, tests f...
Eldar Fischer, Orly Yahalom
GD
2007
Springer
14 years 1 months ago
Line Crossing Minimization on Metro Maps
We consider the problem of drawing a set of simple paths along the edges of an embedded underlying graph G = (V, E), so that the total number of crossings among pairs of paths is m...
Michael A. Bekos, Michael Kaufmann, Katerina Potik...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 7 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 2 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...