Add to ORKGBandwidth is one of the canonical NP-complete problems [17]. It is NP-hard to approximate within any constant, even on trees [22]. Gupta gave a randomized approximation algorithm [8] for band-width on trees, which has an approximation ratio of O(log2.5 n). This algorithm has the best currently known approximation ratio on trees. Gupta showed that his algorithm has an approximation ratio of O(log n) on caterpillars, a restricted family of trees. We show that Gupta’s algorithm has an approximation ratio of O(log n) on many-caterpillars, an extension of caterpillars. We also simplify and derandomize Gupta’s algorithm on many-caterpillars
AbstractWe give the first polynomial-time algorithm that computes the bandwidth of bipartite permuta...
AbstractGraph bandwidth minimization (GBM) is a classical and challenging problem in graph algorithm...
The Bandwidth problem for a graph seeks to find a labeling for the vertices of a graph G with nonneg...
A natural and simple randomized algorithm gives the best-known approximation for Bandwidth Minimizat...
The bandwidth of a n-vertex graph G is the smallest integer b such that there exists a bijective fun...
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the ba...
A linear arrangement of an n-vertex graph G = (V;E) is a one-one mapping f of the vertex set V onto ...
AbstractFor a graph G, let γ:V(G)→{1,…,|V(G)|} be a one-to-one function. The bandwidth of γ is the m...
The bandwidth problem is the problem of numbering the vertices of a given graph G such that the max...
The bandwidth problem is the problem of numbering the vertices of a given graph G such that the max...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
For a graph G, let γ:V(G)→1,⋯,|V(G)| be a one-to-one function. The bandwidth of γ is the maximum of ...
AbstractWe give the first polynomial-time algorithm that computes the bandwidth of bipartite permuta...
AbstractGraph bandwidth minimization (GBM) is a classical and challenging problem in graph algorithm...
The Bandwidth problem for a graph seeks to find a labeling for the vertices of a graph G with nonneg...
A natural and simple randomized algorithm gives the best-known approximation for Bandwidth Minimizat...
The bandwidth of a n-vertex graph G is the smallest integer b such that there exists a bijective fun...
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the ba...
A linear arrangement of an n-vertex graph G = (V;E) is a one-one mapping f of the vertex set V onto ...
AbstractFor a graph G, let γ:V(G)→{1,…,|V(G)|} be a one-to-one function. The bandwidth of γ is the m...
The bandwidth problem is the problem of numbering the vertices of a given graph G such that the max...
The bandwidth problem is the problem of numbering the vertices of a given graph G such that the max...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
In this paper, we show that Bandwidth is hard for the complexity class W[t] for all t∈ N, even for c...
For a graph G, let γ:V(G)→1,⋯,|V(G)| be a one-to-one function. The bandwidth of γ is the maximum of ...
AbstractWe give the first polynomial-time algorithm that computes the bandwidth of bipartite permuta...
AbstractGraph bandwidth minimization (GBM) is a classical and challenging problem in graph algorithm...
The Bandwidth problem for a graph seeks to find a labeling for the vertices of a graph G with nonneg...