# nauty-twohamg man page

nauty-twohamg — split quartic graphs into two hamiltonian cycles

## Synopsis

## Description

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

## Info

September 2016 nauty 2.6.7 Nauty Manual