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NAUTY-TWOHAMG(1) Nauty Manual NAUTY-TWOHAMG(1)

NAME

nauty-twohamg - split quartic graphs into two hamiltonian cycles

SYNOPSIS

twohamg [-sgvq] [-L#] [infile [outfile]]

DESCRIPTION

Partition quartic graphs into two hamiltonian cycles.
Output those which cannot be partitioned.
force output to sparse6 format
force output to graph6 format If neither -s or -g are given, the output format is determined by the header or, if there is none, by the format of the first input graph. Also see -S.
The output file will have a header if and only if the input file does.
Read a cubic graph and use its prism. Vertex i of the input becomes
vertices 2*i,2*i+1 in the prism.
Test for decompositions using each 2-path
As -x but only output if two 2-paths are missed at some vertex
Test for decompositions using each non-triangular 3-path

-t# With -x and -X, consider only paths with center #

With -y, consider only paths starting at #
With -p, only consider paths whose central edge is vertical
Give a partition for those graphs who have one and a message for those which don't. With -x, list exceptional 2-paths.

-L# Limit to 1000*# iterations; write with message if timeout.

Graphs that time out are written to the output.
suppress auxiliary information
November 2022 nauty 2.8.6