NAME
Graph::Maker::Kneser  create Kneser graphs
SYNOPSIS
use Graph::Maker::Kneser;
$graph = Graph::Maker>new ('Kneser', N => 8, K => 3);
DESCRIPTION
Graph::Maker::Kneser
creates Graph.pm
graphs of Kneser graphs. Each vertex is a Kmany subset of the integers 1 to N. Edges are between vertices with all integers distinct. Vertex names are the list of integers separated by commas, such as "1,5,6,8".
K=1 is the completeN graph. Vertex names are the same as Graph::Maker::Complete
(integers 1 to N).
N=5,K=2 is the Petersen graph.
N=2*K1 is the "odd" graph K.
K > N/2 has no edges since the Kmany subsets are each more than half of 1..N so are never disjoint
FUNCTIONS
$graph = Graph::Maker>new('Kneser', key => value, ...)

The key/value parameters are
N => integer K => integer graph_maker => subr(key=>value) constructor, default Graph>new
Other parameters are passed to the constructor, either
graph_maker
orGraph>new()
.If the graph is directed (the default) then edges are added both forward and backward between vertices. Option
undirected => 1
creates an undirected graph and for it there is a single edge between vertices.
HOUSE OF GRAPHS
House of Graphs entries for the graphs here include
 N=4, K=2, https://hog.grinvin.org/ViewGraphInfo.action?id=484
 N=5, K=2, https://hog.grinvin.org/ViewGraphInfo.action?id=660 (Petersen, odd 3)
 N=6, K=2, https://hog.grinvin.org/ViewGraphInfo.action?id=19271
SEE ALSO
Graph::Maker, Graph::Maker::Johnson
LICENSE
Copyright 2015, 2016, 2017, 2018, 2019 Kevin Ryde
This file is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.
This file is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with This file. If not, see http://www.gnu.org/licenses/.