Drawing a Graph in a Hypercube
Copyright policy )Drawing a Graph in a Hypercube
A $d$-dimensional hypercube drawing of a graph represents the vertices by distinct points in $\{0,1\}^d$, such that the line-segments representing the edges do not cross. We study lower and upper bounds on the minimum number of dimensions in hypercube drawing of a given graph. This parameter turns out to be related to Sidon sets and antimagic injections.
- Charles University Czech Republic
- Universitat Politècnica de Catalunya Spain
- University of Barcelona Spain
Graph representations (geometric and intersection representations, etc.), hypercube drawing, Planar graphs; geometric and topological aspects of graph theory, Graph labelling (graceful graphs, bandwidth, etc.), antimagic injections, Graph theory (including graph drawing) in computer science, Special sequences and polynomials, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Sidon sets
Graph representations (geometric and intersection representations, etc.), hypercube drawing, Planar graphs; geometric and topological aspects of graph theory, Graph labelling (graceful graphs, bandwidth, etc.), antimagic injections, Graph theory (including graph drawing) in computer science, Special sequences and polynomials, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Sidon sets
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