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» Bounds of Graph Characteristics
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GD
2000
Springer
13 years 11 months ago
Three-Dimensional Orthogonal Graph Drawing with Optimal Volume
An orthogonal drawing of a graph is an embedding of the graph in the rectangular grid, with vertices represented by axis-aligned boxes, and edges represented by paths in the grid w...
Therese C. Biedl, Torsten Thiele, David R. Wood
GD
2009
Springer
13 years 5 months ago
Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs
Abstract. The study of (minimally) rigid graphs is motivated by numerous applications, mostly in robotics and bioinformatics. A major open problem concerns the number of embeddings...
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios V...
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 8 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
CORR
2010
Springer
106views Education» more  CORR 2010»
13 years 8 months ago
Lombardi Drawings of Graphs
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
EJC
2010
13 years 8 months ago
The spread of the unicyclic graphs
Let G be a simple connected graph with n vertices and n edges which we call an unicyclic graph. In this paper, we first investigate the least eigenvalue n(G), then we present two ...
Yarong Wu, Jinlong Shu