to define a notion of branch-decomposition for matroids that generalizes branch-decompositions of graphs. A branch-decomposition of a matroid is a hierarchical...

graph. That is, a branch-decomposition may be viewed as a hierarchical clustering of the edges of the graph. Branch-decompositions and an associated numerical...

science which studies decomposition is generally referred to as taphonomy from the Greek word taphos, meaning tomb. Decomposition can also be a gradual...

constraint satisfaction, query optimization, and matrix decomposition. The concept of tree decomposition was originally introduced by Rudolf Halin (1976). Later...

property that is held by all cards). decomposition See tree decomposition, path decomposition, or branch-decomposition. degenerate degeneracy A k-degenerate...

Decomposers are organisms that break down dead or decaying organisms; they carry out decomposition, a process possible by only certain kingdoms, such as...

axes. The polar decomposition of a square matrix A {\displaystyle A} always exists. If A {\displaystyle A} is invertible, the decomposition is unique, and...

tree decomposition of an undirected graph, one less than the size of the largest vertex-set in the decomposition. Width of a path decomposition of an...

forbidden minors. Branch-decompositions of matroids may be defined analogously to their definition for graphs. A branch-decomposition of a matroid is a...

Branch-decomposition, a hierarchical clustering of the edges of a graph, and branchwidth, a graph parameter defined from these decompositions Branch (mathematical...