table of contents
NAUTY-CUBHAMG(1) | Nauty Manual | NAUTY-CUBHAMG(1) |
NAME¶
nauty-cubhamg - find hamiltonian cycles in subcubic graphs
SYNOPSIS¶
cubhamg [-#] [-v|-V] [-n#-#|-y#-#|-i|-I|-o|-x|-e|-E] [-b|-t] [infile [outfile]]
DESCRIPTION¶
- Pick those inputs that are nonhamiltonian and have max degree <= 3.
- infile is the name of the input file in graph6/sparse6 format (default: stdin)
- outfile is the name of the output file in the same format (default: stdout)
- The output file will have a header >>graph6<< or >>sparse6<< if the input file does.
OPTIONS¶
- -#
- A parameter useful for tuning (default 100)
- -v
- Report nonhamiltonian graphs and noncubic graphs
- -V
- .. in addition give a cycle for the hamiltonian ones
- -n#-#
- If the two numbers are v and i, then the i-th edge out of vertex v is required to be not in the cycle. It must be that i=1..3 and v=0..n-1.
- -y#-#
- If the two numbers are v and i, then the i-th edge out of vertex v is required to be in the cycle. It must be that i=1..3 and v=0..n-1. You can use any number of -n/-y switches to force edges. Out of range first arguments are ignored. If -y and -n give same edge, -y wins.
- -i
- Test + property: for each edge e, there is a hamiltonian cycle using e.
- -I
- Test ++ property: for each pair of edges e,e', there is a hamiltonian cycle which uses both e and e'.
- -o
- Test - property: for each edge e, there is a hamiltonian cycle avoiding e.
- -x
- Test +- property: for each pair of edges e,e', there is a hamiltonian cycle which uses e but avoids e'.
- -e
- Test 3/4 property: for each edge e, at least 3 of the 4 paths of length 3 passing through e lie on hamiltonian cycles.
- -E
- Test 3/4+ property: for each edge e failing the 3/4 property, all three ways of joining e to the rest of the graph are hamiltonian avoiding e.
- -T#
- Specify a timeout, being a limit on how many search tree nodes are made. If the timeout occurs, the graph is written to the output as if it is nonhamiltonian.
- -R#
- Specify the number of repeat attempts for each stage.
- -F
- Analyze covering paths from 2 or 4 vertices of degree 2.
- -b
- Require biconnectivity
- -t
- Require triconnectivity (note: quadratic algorithm)
Comments:¶
-y, -n, -#, -R and -T are ignored for -i, -I, -x, -o, -e, -E, -F
July 2022 | nauty 2.7.4 |