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:
“You must realize that I was suffering from love and I knew him as intimately as I knew my own image in a mirror. In other words, I knew him only in relation to myself.”
—Angela Carter (1940–1992)
“You see, I am alive, I am alive
I stand in good relation to the earth
I stand in good relation to the gods
I stand in good relation to all that is beautiful
I stand in good relation to the daughter of Tsen-tainte
You see, I am alive, I am alive”
—N. Scott Momaday (b. 1934)