Report of running the connected cut algorithm

This is an automatically generated report which runs the algorithm on given graphs. There is a graph, its integer linear program solution, linear program solution, enhancement of the linear program and approximation result.

Graph ILP LP Enhancement Aproximation Enh Apx
comet 2 1.6363636363636362e+00 2 10 2
comet-alt 4 4 4 4 4
clique 30 9.9999999999999982e+00 9.9999999999999982e+00 30 30
star 34 34 34 34 34
path 4 4 4 4 4
tree 12 10.5 12 12 12
petersen 12 2.6666666666666670e+00 7.9999999999999991e+00 12 12

comet

The source vertex is s = 0 and capacity is k = 12.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

comet-alt

The source vertex is s = 12 and capacity is k = 10.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

clique

The source vertex is s = 0 and capacity is k = 3.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

star

The source vertex is s = 1 and capacity is k = 4.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

path

The source vertex is s = 0 and capacity is k = 6.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

tree

The source vertex is s = 0 and capacity is k = 15.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced

petersen

The source vertex is s = 0 and capacity is k = 6.

Integer linear program

Flow

Cut

Linear program

Flow

Cut

Enhancement

Flow

Cut

Aproximation

Aproximation - enhanced