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» A Note on Graph Pebbling
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APPML
2010
86views more  APPML 2010»
13 years 7 months ago
A note on single-linkage equivalence
We introduce the concept of single-linkage equivalence of edge-weighted graphs, we apply it to characterise maximal spanning trees and "ultrasimilarities", and we discus...
Andreas W. M. Dress, Taoyang Wu, XiaoMing Xu
DM
2007
106views more  DM 2007»
13 years 7 months ago
The Roberts characterization of proper and unit interval graphs
In this note, a constructive proof is given that the classes of proper interval graphs and unit interval graphs coincide, a result originally established by Fred S. Roberts. Addit...
Frédéric Gardi
GD
2001
Springer
14 years 3 days ago
A Short Note on the History of Graph Drawing
The origins of chart graphics (e.g., bar charts and line charts) are well known, with the seminal event being the publication of William Playfair´s (1759-1823) ¨The Commercial a...
Eriola Kruja, Joe Marks, Ann Blair, Richard C. Wat...
AVI
2006
13 years 9 months ago
Just how dense are dense graphs in the real world?: a methodological note
This methodological note focuses on the edge density of real world examples of networks. The edge density is a parameter of interest typically when putting up user studies in an e...
Guy Melançon
CORR
2010
Springer
74views Education» more  CORR 2010»
13 years 7 months ago
A note on the random greedy triangle-packing algorithm
The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on n vertices and proceed to remove the ed...
Tom Bohman, Alan M. Frieze, Eyal Lubetzky