A unit cube in k dimensions (k-cube) is defined as the Cartesian product R-1 x R-2 x ... x R-k where R-i (for 1 <= i <= k) is a closed interval of the form [a(i), a(i) + 1] on the real line. A graph G on n nodes is said to be representable as the intersection of k-cubes (cube representation in k dimensions) if each vertex of C can be mapped to a k-cube such that two vertices are adjacent in G if and only if their corresponding k-cubes have a non-empty intersection. The cubicity of G denoted as cub(G) is the minimum k for which G can be represented as the intersection of k-cubes. An interesting aspect about cubicity is that many problems known to be NP-complete for general graphs have polynomial time deterministic algorithms or have good ap...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
The boxicity (resp. cubicity) of a graph G(V, E) is the minimum integer k such that G can be represe...
A unit cube in (or a k-cube in short) is defined as the Cartesian product R (1) x R (2) x ... x R (k...
A unit cube in (or a k-cube in short) is defined as the Cartesian product R (1) x R (2) x ... x R (k...
A unit cube in ℝk (or a k-cube in short) is defined as the Cartesian product R1 × R2 × ... × Rk wher...
A unit cube in ℝk (or a k-cube in short) is defined as the Cartesian product R1 × R2 × ... × Rk wher...
A unit cube in k-dimension (or a k-cube) is defined as the Cartesian product R-1 x R-2 x ... x R-k...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
AbstractFor a graph G, its cubicity cub(G) is the minimum dimension k such that G is representable a...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
The boxicity (resp. cubicity) of a graph G(V, E) is the minimum integer k such that G can be represe...
A unit cube in (or a k-cube in short) is defined as the Cartesian product R (1) x R (2) x ... x R (k...
A unit cube in (or a k-cube in short) is defined as the Cartesian product R (1) x R (2) x ... x R (k...
A unit cube in ℝk (or a k-cube in short) is defined as the Cartesian product R1 × R2 × ... × Rk wher...
A unit cube in ℝk (or a k-cube in short) is defined as the Cartesian product R1 × R2 × ... × Rk wher...
A unit cube in k-dimension (or a k-cube) is defined as the Cartesian product R-1 x R-2 x ... x R-k...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
The boxicity of a graph G is the minimum dimension b such that G is representable as the intersectio...
AbstractFor a graph G, its cubicity cub(G) is the minimum dimension k such that G is representable a...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
A k-dimensional box is the Cartesian product R-1 X R-2 X ... X R-k where each R-i is a closed interv...
The boxicity (resp. cubicity) of a graph G(V, E) is the minimum integer k such that G can be represe...