Fast approximation algorithms for the diameter and radius of sparse graphs

L Roditty, V Vassilevska Williams - Proceedings of the forty-fifth annual …, 2013 - dl.acm.org
The diameter and the radius of a graph are fundamental topological parameters that have
many important practical applications in real world networks. The fastest combinatorial …

Lexicographic breadth first search–a survey

DG Corneil - International Workshop on Graph-Theoretic Concepts …, 2004 - Springer
Abstract Lexicographic Breadth First Search, introduced by Rose, Tarjan and Lueker for the
recognition of chordal graphs is currently the most popular graph algorithmic search …

Approximation and fixed parameter subquadratic algorithms for radius and diameter in sparse graphs

A Abboud, VV Williams, J Wang - Proceedings of the twenty-seventh annual …, 2016 - SIAM
The radius and diameter are fundamental graph parameters, with several natural definitions
for directed graphs. Each definition is well-motivated in a variety of applications. All versions …

On querying historical evolving graph sequences

C Ren, E Lo, B Kao, X Zhu, R Cheng - Proceedings of the VLDB …, 2011 - dl.acm.org
In many applications, information is best represented as graphs. In a dynamic world,
information changes and so the graphs representing the information evolve with time. We …

Diameters, centers, and approximating trees of delta-hyperbolicgeodesic spaces and graphs

V Chepoi, F Dragan, B Estellon, M Habib… - Proceedings of the twenty …, 2008 - dl.acm.org
δ-Hyperbolic metric spaces have been defined by M. Gromov via a simple 4-point condition:
for any four points u, v, w, x, the two larger of the sums d (u, v)+ d (w, x), d (u, w)+ d (v, x), d …

Partition refinement techniques: An interesting algorithmic tool kit

M Habib, C Paul, L Viennot - International Journal of Foundations of …, 1999 - World Scientific
Partition refinement techniques lead to simple and efficient algorithms for various
applications: automaton minimization, string sorting… and also for algorithms on graphs. A …

On computing the diameter of real-world undirected graphs

P Crescenzi, R Grossi, M Habib, L Lanzi… - Theoretical Computer …, 2013 - Elsevier
We propose a new algorithm for the classical problem of computing the diameter of
undirected unweighted graphs, namely, the maximum distance among all the pairs of nodes …

Fast computation of empirically tight bounds for the diameter of massive graphs

C Magnien, M Latapy, M Habib - Journal of Experimental Algorithmics …, 2009 - dl.acm.org
The diameter of a graph is among its most basic parameters. Since a few years ago, it
moreover became a key issue to compute it for massive graphs in the context of complex …

[HTML][HTML] Fast diameter and radius BFS-based computation in (weakly connected) real-world graphs: With an application to the six degrees of separation games

M Borassi, P Crescenzi, M Habib, WA Kosters… - Theoretical Computer …, 2015 - Elsevier
In this paper, we propose a new algorithm that computes the radius and the diameter of a
weakly connected digraph G=(V, E), by finding bounds through heuristics and improving …

[HTML][HTML] Diameter determination on restricted graph families

DG Corneil, FF Dragan, M Habib, C Paul - Discrete Applied Mathematics, 2001 - Elsevier
Determining the diameter of a graph is a fundamental graph operation, yet no efficient (ie
linear or quadratic time) algorithm is known. In this paper, we examine the diameter problem …