nauty-twohamg(1)

split quartic graphs into two hamiltonian cycles

Section 1 nauty bookworm source

Description

nauty-twohamg - split quartic graphs into two hamiltonian cycles

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

Partition quartic graphs into two hamiltonian cycles.

Output those which cannot be partitioned.

	-s		force output to sparse6 format
	-g		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.

-p

Read a cubic graph and use its prism. Vertex i of the input becomes

vertices 2*i,2*i+1 in the prism.

	-x		Test for decompositions using each 2-path
	-X		As -x but only output if two 2-paths are missed at some vertex
	-y		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 #

	-Y
			With -p, only consider paths whose central edge is vertical
	-v		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.

	-q
			suppress auxiliary information