"Source: Text/Incidence/Graph.text";
"Line: 969";
"Date: Fri Sep 26 12:10:10 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Incidence/Graph.text, line: 969
// Example: H162E7 ()
print "Example: H162E7";
ei := GetEchoInput();
SetEchoInput(true);
G := Graph<5 | { {1,2}, {2,3}, {3,4}, {4,5}, {5,1} }>;
HasDenseRepOnly(G);
assert $1;
A := AutomorphismGroup(G);
HasDenseRepOnly(G);
assert $1;
G := Graph<5 | { {1,2}, {2,3}, {3,4}, {4,5}, {5,1} } : SparseRep := true>;
HasSparseRepOnly(G);
assert $1;
A := AutomorphismGroup(G);
HasDenseAndSparseRep(G);
assert $1;
G := Graph<5 | { {1,2}, {2,3}, {3,4}, {4,5}, {5,1} } : SparseRep := true>;
HasSparseRepOnly(G);
assert $1;
IsPlanar(G);
assert $1;
HasSparseRepOnly(G);
assert $1;
G := Graph<5 | { {1,2}, {2,3}, {3,4}, {4,5}, {5,1} }>;
HasDenseRepOnly(G);
assert $1;
IsPlanar(G);
assert $1;
HasDenseAndSparseRep(G);
assert $1;
SetEchoInput(ei);
