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DAM
2000
84views more  DAM 2000»
13 years 8 months ago
Three-dimensional orthogonal graph drawing algorithms
We use basic results from graph theory to design algorithms for constructing three-dimensional, intersection-free orthogonal grid drawings of n vertex graphs of maximum degree 6. ...
Peter Eades, Antonios Symvonis, Sue Whitesides
EJC
2008
13 years 8 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
GD
2001
Springer
14 years 1 months ago
Orthogonal Drawings of Plane Graphs without Bends
In an orthogonal drawing of a plane graph each vertex is drawn as a point and each edge is drawn as a sequence of vertical and horizontal line segments. A bend is a point at which...
Md. Saidur Rahman, Mahmuda Naznin, Takao Nishizeki
JCO
2007
97views more  JCO 2007»
13 years 8 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 10 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro