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</script></head><body><div id="package-header"><ul class="links" id="page-menu"><li><a href="src/Math-Algebra-Group-CayleyGraph.html">Source</a></li><li><a href="index.html">Contents</a></li><li><a href="doc-index.html">Index</a></li></ul><p class="caption">HaskellForMaths-0.4.5: Combinatorics, group theory, commutative algebra, non-commutative algebra</p></div><div id="content"><div id="module-header"><table class="info"><tr><th>Safe Haskell</th><td>None</td></tr></table><p class="caption">Math.Algebra.Group.CayleyGraph</p></div><div id="synopsis"><p id="control.syn" class="caption expander" onclick="toggleSection('syn')">Synopsis</p><ul id="section.syn" class="hide" onclick="toggleSection('syn')"><li class="src short"><span class="keyword">data</span> <a href="#t:Digraph">Digraph</a> a = <a href="#v:DG">DG</a> [a] [(a, a)]</li><li class="src short"><a href="#v:cayleyDigraphP">cayleyDigraphP</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> a, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a) => [a] -> <a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> a</li><li class="src short"><a href="#v:cayleyGraphP">cayleyGraphP</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> a) => [<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> a] -> <a href="Math-Combinatorics-Graph.html#t:Graph">Graph</a> (<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> a)</li><li class="src short"><a href="#v:cayleyDigraphS">cayleyDigraphS</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a => ([a], [([a], [a])]) -> <a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> [a]</li><li class="src short"><a href="#v:cayleyGraphS">cayleyGraphS</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a => ([a], [([a], [a])]) -> <a href="Math-Combinatorics-Graph.html#t:Graph">Graph</a> [a]</li><li class="src short"><a href="#v:fromTranspositions">fromTranspositions</a> :: [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>] -> <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a></li><li class="src short"><a href="#v:fromTrans">fromTrans</a> :: [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>] -> [<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a>]</li><li class="src short"><a href="#v:bubblesort">bubblesort</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t => [t] -> [t]</li><li class="src short"><a href="#v:toTrans">toTrans</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t => [t] -> [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>]</li><li class="src short"><a href="#v:toTranspositions">toTranspositions</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Enum">Enum</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> t) => <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> t -> [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>]</li><li class="src short"><a href="#v:inversions">inversions</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Enum">Enum</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t) => <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> t -> [(t, t)]</li></ul></div><div id="interface"><h1>Documentation</h1><div class="top"><p class="src"><span class="keyword">data</span> <a name="t:Digraph" class="def">Digraph</a> a <a href="src/Math-Algebra-Group-CayleyGraph.html#Digraph" class="link">Source</a></p><div class="subs constructors"><p class="caption">Constructors</p><table><tr><td class="src"><a name="v:DG" class="def">DG</a> [a] [(a, a)]</td><td class="doc empty"> </td></tr></table></div><div class="subs instances"><p id="control.i:Digraph" class="caption collapser" onclick="toggleSection('i:Digraph')">Instances</p><div id="section.i:Digraph" class="show"><table><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> a => <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Eq.html#t:Eq">Eq</a> (<a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> a)</td><td class="doc empty"> </td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a => <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> (<a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> a)</td><td class="doc empty"> </td></tr><tr><td class="src"><a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> a => <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> (<a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> a)</td><td class="doc empty"> </td></tr></table></div></div></div><div class="top"><p class="src"><a name="v:cayleyDigraphP" class="def">cayleyDigraphP</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> a, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a) => [a] -> <a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> a<a href="src/Math-Algebra-Group-CayleyGraph.html#cayleyDigraphP" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:cayleyGraphP" class="def">cayleyGraphP</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> a) => [<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> a] -> <a href="Math-Combinatorics-Graph.html#t:Graph">Graph</a> (<a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> a)<a href="src/Math-Algebra-Group-CayleyGraph.html#cayleyGraphP" class="link">Source</a></p><div class="doc"><p>The Cayley graph (undirected) on the generators (and their inverses),
for a group given as permutations
</p></div></div><div class="top"><p class="src"><a name="v:cayleyDigraphS" class="def">cayleyDigraphS</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a => ([a], [([a], [a])]) -> <a href="Math-Algebra-Group-CayleyGraph.html#t:Digraph">Digraph</a> [a]<a href="src/Math-Algebra-Group-CayleyGraph.html#cayleyDigraphS" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:cayleyGraphS" class="def">cayleyGraphS</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> a => ([a], [([a], [a])]) -> <a href="Math-Combinatorics-Graph.html#t:Graph">Graph</a> [a]<a href="src/Math-Algebra-Group-CayleyGraph.html#cayleyGraphS" class="link">Source</a></p><div class="doc"><p>The Cayley graph (undirected) on the generators (and their inverses),
for a group given as generators and relations
</p></div></div><div class="top"><p class="src"><a name="v:fromTranspositions" class="def">fromTranspositions</a> :: [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>] -> <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a><a href="src/Math-Algebra-Group-CayleyGraph.html#fromTranspositions" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:fromTrans" class="def">fromTrans</a> :: [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>] -> [<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Int.html#t:Int">Int</a>]<a href="src/Math-Algebra-Group-CayleyGraph.html#fromTrans" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:bubblesort" class="def">bubblesort</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t => [t] -> [t]<a href="src/Math-Algebra-Group-CayleyGraph.html#bubblesort" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:toTrans" class="def">toTrans</a> :: <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t => [t] -> [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>]<a href="src/Math-Algebra-Group-CayleyGraph.html#toTrans" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:toTranspositions" class="def">toTranspositions</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Enum">Enum</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Text-Show.html#t:Show">Show</a> t) => <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> t -> [<a href="Math-Algebra-Group-StringRewriting.html#t:SGen">SGen</a>]<a href="src/Math-Algebra-Group-CayleyGraph.html#toTranspositions" class="link">Source</a></p></div><div class="top"><p class="src"><a name="v:inversions" class="def">inversions</a> :: (<a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Enum">Enum</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Prelude.html#t:Num">Num</a> t, <a href="/usr/share/doc/ghc-doc/html/libraries/base-4.6.0.1/Data-Ord.html#t:Ord">Ord</a> t) => <a href="Math-Algebra-Group-PermutationGroup.html#t:Permutation">Permutation</a> t -> [(t, t)]<a href="src/Math-Algebra-Group-CayleyGraph.html#inversions" class="link">Source</a></p></div></div></div><div id="footer"><p>Produced by <a href="http://www.haskell.org/haddock/">Haddock</a> version 2.13.2</p></div></body></html>
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