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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''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function g = grVertexEccentricity(v, e, l, inds)
%GRVERTEXECCENTRICITY Eccentricity of vertices in the graph.
%
% G = grVertexEccentricity(V, E, L)
% V is the array of vertices
% E is the array of edges
% L is a column vector containing length of each edge (assumes 1 for each
% edge if not specified).
% G is the maximal geodesic length of each vertex.
%
% G = grVertexEccentricity(V, E, L, INDV)
% Compute eccentricity only for vertices whose index is given in INDV.
%
% 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
% G = grVertexEccentricity(nodes, edges);
% drawNodeLabels(nodes+2, G);
%
% See also
% graphRadius, graphCenter, graphDiameter, graphPeripheralVertices
% grPropagateDistance
% ------
% 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
% init result
Nv = size(v, 1);
g = zeros(Nv, 1);
% ensure there is a valid length array
if nargin<3
l = ones(size(e,1), 1);
end
if nargin<4
inds = 1:Nv;
end
% compuite maximal geodesic length for each vertex
for i=1:Nv
g(i) = max(grPropagateDistance(v, e, inds(i), l));
end
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