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» Intriguing Sets of Vertices of Regular Graphs
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CORR
2010
Springer
164views Education» more  CORR 2010»
14 years 9 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
85
Voted
APPROX
2010
Springer
179views Algorithms» more  APPROX 2010»
14 years 11 months ago
Rumor Spreading on Random Regular Graphs and Expanders
Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assu...
Nikolaos Fountoulakis, Konstantinos Panagiotou
ARSCOM
1998
79views more  ARSCOM 1998»
14 years 9 months ago
A characterization of halved cubes
The vertex set of a halved cube Qd consists of a bipartition vertex set of a cube Qd and two vertices are adjacent if they have a common neighbour in the cube. Let d ≥ 5. Then i...
Wilfried Imrich, Sandi Klavzar, Aleksander Vesel
JGAA
2008
97views more  JGAA 2008»
14 years 9 months ago
Drawing Bipartite Graphs on Two Parallel Convex Curves
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...
Emilio Di Giacomo, Luca Grilli, Giuseppe Liotta
ISAAC
2004
Springer
103views Algorithms» more  ISAAC 2004»
15 years 2 months ago
Structural Similarity in Graphs (A Relaxation Approach for Role Assignment)
Standard methods for role assignment partition the vertex set of a graph in such a way that vertices in the same class can be considered to have equivalent roles in the graph. Seve...
Ulrik Brandes, Jürgen Lerner