Partial cube

In graph theory, a partial cube is a graph that is an isometric subgraph of a hypercube. In other words, a partial cube is a subgraph of a hypercube… (More)
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1993-2016

Papers overview

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2017
2017
Partial cubes are graphs isometrically embeddable into hypercubes. In this paper it is proved that every cubic, vertex-transitive… (More)
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2014
2014
• LATIN
• 2014
We prove that the combinatorial optimization problem of determining the hull number of a partial cube is NP-complete. This makes… (More)
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2013
2013
• JCDCGG
• 2013
A partial cube is a graph having an isometric embedding in a hypercube. Partial cubes are characterized by a natural equivalence… (More)
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2012
2012
• Journal of Graph Theory
• 2012
The convex excess ce(G) of a graph G is introduced as ∑ (|C| − 4)/2 where the summation goes over all convex cycles of G. It is… (More)
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2008
2008
We show how to test whether a graph with <i>n</i> vertices and <i>m</i> edges is a partial cube, and if so how to find a distance… (More)
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2007
2007
A set A of vertices of a graphG isC-convex if the vertex set of any cycle of the subgraph ofG induced by the union of the… (More)
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2006
2006
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudolines in the projective plane. As… (More)
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2006
2006
7 Partial cubes are graphs that allow isometric embeddings into hypercubes. -graceful labelings of partial cubes are introduced… (More)
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2003
2003
• Discrete Applied Mathematics
• 2003
Isometric subgraphs of hypercubes, or partial cubes as they are also called, are a rich class of graphs that include median… (More)
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2002
2002
• SIAM J. Discrete Math.
• 2002
Partial cubes are defined as isometric subgraphs of hypercubes. For a partial cube G, its crossing graph G# is introduced as the… (More)
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