@@ -733,27 +733,6 @@ true
733733</ManSection >
734734<#/GAPDoc>
735735
736- <#GAPDoc Label="DigraphRemoveAllEdges">
737- <ManSection >
738- <Oper Name =" DigraphRemoveAllEdges" Arg =" digraph" />
739- <Returns >An empty digraph.</Returns >
740- <Description >
741- This operation returns a digraph constructed from <A >digraph</A >, which is mutable,
742- by removing all of the edges in the original digraph.
743- (see <Ref Oper =" DigraphRemoveEdge" Label =" for a digraph and an edge" />).
744- <P />
745-
746- <Example ><![CDATA[
747- gap> D3 := Digraph(IsMutableDigraph, [[2], [1], [2]]);
748- <mutable digraph with 3 vertices, 3 edges>
749- gap> DigraphRemoveAllEdges(D3);
750- <mutable empty digraph with 3 vertices>
751- true
752- ]]> </Example >
753- </Description >
754- </ManSection >
755- <#/GAPDoc>
756-
757736<#GAPDoc Label="InducedSubdigraph">
758737<ManSection >
759738 <Oper Name =" InducedSubdigraph" Arg =" digraph, verts" />
@@ -2273,46 +2252,6 @@ gap> ConormalProduct(NullDigraph(0), CompleteDigraph(10));
22732252</ManSection >
22742253<#/GAPDoc>
22752254
2276- <#GAPDoc Label="HomomorphicProduct">
2277- <ManSection >
2278- <Oper Name =" HomomorphicProduct" Arg =" D1, D2" />
2279- <Returns >A digraph.</Returns >
2280- <Description >
2281- If <A >D1</A > and <A >D2</A > are digraphs without multiple edges,
2282- then <C >HomomorphicProduct</C > calculates the <E >homomorphic product digraph</E >
2283- (<C >HPD</C >) of <A >D1</A > and <A >D2</A >.
2284-
2285- <C >HPD</C > has vertex set <C >V1 x V2</C > where <C >V1</C > is the vertex set of
2286- <A >D1</A > and <C >V2</C > is the vertex set of <A >D2</A > (a vertex
2287- <C >[a, b]</C > has label <C >(a - 1) * |V2| + b</C > in the output). There is
2288- an edge from <C >[a, b]</C > to <C >[c, d]</C > when at least one of the
2289- following two conditions are satisfied:
2290- <List >
2291- <Item >
2292- The vertices <C >a</C > and <C >c</C > of <A >D1</A > are equal.
2293- </Item >
2294- <Item >
2295- There is an edge from <C >a</C > to <C >c</C > in <A >D1</A > and no edge from
2296- <C >b</C > to <C >d</C > in <A >D2</A >.
2297- </Item >
2298- </List >
2299-
2300- <Example ><![CDATA[
2301- gap> HomomorphicProduct(PetersenGraph(),
2302- > DigraphSymmetricClosure(ChainDigraph(4)));
2303- <immutable digraph with 40 vertices, 460 edges>
2304- gap> D1 := Digraph([[2], [1, 3, 4], [2, 5], [2, 5], [3, 4]]);
2305- <immutable digraph with 5 vertices, 10 edges>
2306- gap> D2 := Digraph([[2], [1, 3], [2, 4], [3]]);
2307- <immutable digraph with 4 vertices, 6 edges>
2308- gap> HomomorphicProduct(D1, D2);
2309- <immutable digraph with 20 vertices, 180 edges>
2310- ]]> </Example >
2311- </Description >
2312- </ManSection >
2313- <#/GAPDoc>
2314-
2315-
23162255<#GAPDoc Label="HomomorphicProduct">
23172256<ManSection >
23182257 <Oper Name =" HomomorphicProduct" Arg =" D1, D2" />
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