𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Min–max tree covers of graphs

✍ Scribed by G. Even; N. Garg; J. Könemann; R. Ravi; A. Sinha


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
225 KB
Volume
32
Category
Article
ISSN
0167-6377

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Approximation hardness of min–max tree c
✍ Zhou Xu; Qi Wen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 367 KB

We prove the first inapproximability bounds to study approximation hardness for a min-max k-tree cover problem and its variants. The problem is to find a set of k trees to cover vertices of a given graph with metric edge weights, so as to minimize the maximum total edge weight of any of the k trees.

Min-max Computation Tree Logic
✍ Pallab Dasgupta; P.P. Chakrabarti; Jatindra Kumar Deka; Sriram Sankaranarayanan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 342 KB

This paper introduces a branching time temporal query language called Min-max CTL which is similar in syntax to the popular temporal logic, CTL [Clarke et al., ACM Trans. Program. Lang. Systems 8 (1986) 244]. However unlike CTL, Min-max CTL can express timing queries on a timed model. We show that i

Not Every Uniform Tree Covers Ramanujan
✍ Alexander Lubotzky; Tatiana Nagnibeda 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 297 KB

The notion of Ramanujan graph has been extended to not necessarily regular graphs by Y. Greenberg. We construct infinite trees with infinitely many finite quotients, none of which is Ramanujan. We give a sufficient condition for a finite graph to be covered by such a tree.

Approximation Algorithms for Min–Max Tre
✍ Nili Guttmann-Beck; Refael Hassin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 298 KB

We consider the problem of partitioning the node set of a graph into p equal sized subsets. The objective is to minimize the maximum length, over these subsets, of a minimum spanning tree. We show that no polynomial algorithm with bounded Ž 2 . error ratio can be given for the problem unless P s NP.