… with those which depend on the costs of … on four classical cases: min–sum and max–sum
problems (respectively, minimize and maximize the total cost of the forest), min–max problems (…

… performance guarantees for the related minmax tree partition problem in which the goal is to
… This procedure takes a MST on the given graph and doubles its edges, getting an Eulerian …

… On the other hand, we show the problem of computing … a bound on tree-partition-width
does not imply a bound on tree-… , we provide our results on approximating the tree-partition-width. …

… Recall from §l that in the tree partition problem our goal is to find a partition H = {V1, V2, . .
. , Vm} of the vertices of an undirected tree T such that no set V, has total weight exceeding B …

… twice the corresponding bound for the tree partition problem. … min-max tree partition problem
MMTP is to partition V into … We prove by induction on p that for some constant C ) 0, Part …

If T=(V,E) is a tree then –T denotes the additive hereditary property consisting of all graphs
that does not contain T as a subgraph. For an arbitrary vertex v of T we deal with a partition of …

… Tree Partition problem for a general color assignment. In Section 5, we propose some
problems for further study and give concluding remarks on … Tree and Path Partition problems. …

… k-tree partition problem which is a partition of the set of edges of a graph into k edge-disjoint
trees. This problem … by the color of the edges on the monochrome paths in the gadgets H(x), …

… tree partition problem arises in partitioning any hierarchical structure into a minimum number
of segments when there is a constraint on … Problems of partitioning arise in several different …

… Theorem 4 The tree partition algorithm gives a partition that has jV1j == jV2j and has a
relative error of logjV j=jV j from the optimal partition. The complexity of this algorithm is O(jV jlog …