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## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
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## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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function diam = graphDiameter(v, e, l)
%GRAPHDIAMETER Diameter of a graph.
%
% D = graphDiameter(V, E)
% Computes the diameter of the graph given by V and E. The diameter of
% the graph is the greatest eccentricity over all vertices in the graph.
%
% D = graphDiameter(V, E, L)
% Specifies the weight of each edge for computing the distances. Default
% is to consider a weight of 1 for each edge.
%
% Example
% nodes = [20 20;20 50;20 80;50 50;80 20;80 50;80 80];
% edges = [1 2;2 3;2 4;4 6;5 6;6 7];
% figure; drawGraph(nodes, edges);
% axis([0 100 0 100]); axis equal; hold on
% D = graphDiameter(nodes, edges)
% D =
% 4
%
% See also
% grPropagateDistance, grVertexEccentricity
% graphCenter, graphRadius, graphPeripheralVertices
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2010-09-07, using Matlab 7.9.0.529 (R2009b)
% Copyright 2010-2023 INRA - Cepia Software Platform
% ensure there is a valid length array
if nargin<3
l = ones(size(e,1), 1);
end
g = grVertexEccentricity(v, e, l);
diam = max(g);
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