A matching in a graph is a subset of pairwise disjoint edges (any two edges that do not share an endpoint). The parameter maximum matching of a graph $G$ is the largest size of a matching in $G$.
Minimal/maximal is with respect to the contents of ISGCI. Only references for direct bounds are given. Where no reference is given, check equivalent parameters.
Problems in italics have no summary page and are only listed when ISGCI contains a result for the current parameter.
3-Colourability
[?]
|
FPT | [+]Details | |||||
Clique
[?]
|
FPT | [+]Details | |||||
Clique cover
[?]
|
XP | [+]Details | |||||
Colourability
[?]
|
FPT | [+]Details | |||||
Domination
[?]
|
FPT | [+]Details | |||||
Feedback vertex set
[?]
|
FPT | [+]Details | |||||
Graph isomorphism
[?]
|
FPT | [+]Details | |||||
Hamiltonian cycle
[?]
|
FPT | [+]Details | |||||
Hamiltonian path
[?]
|
FPT | [+]Details | |||||
Independent set
[?]
|
FPT | [+]Details | |||||
Maximum cut
[?]
(decision variant)
|
FPT | [+]Details | |||||
Monopolarity
[?]
|
Unknown to ISGCI | [+]Details | |||||
Polarity
[?]
|
XP | [+]Details | |||||
Weighted clique
[?]
|
FPT | [+]Details | |||||
Weighted feedback vertex set
[?]
|
FPT | [+]Details | |||||
Weighted independent dominating set
[?]
|
FPT | [+]Details | |||||
Weighted independent set
[?]
|
FPT | [+]Details |