Relation To Treewidth
Branch-decompositions of graphs are closely related to tree decompositions, and branch-width is closely related to tree-width: the two quantities are always within a constant factor of each other. In particular, in the paper in which they introduced branch-width, Neil Robertson and Paul Seymour showed that for a graph G with tree-width k and branchwidth b > 1,
Read more about this topic: Branch-decomposition
Famous quotes containing the words relation to and/or relation:
“Only in a house where one has learnt to be lonely does one have this solicitude for things. Ones relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.”
—Elizabeth Bowen (18991973)
“Only in a house where one has learnt to be lonely does one have this solicitude for things. Ones relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.”
—Elizabeth Bowen (18991973)