We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T, there is an independent dominating set I of T...
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Let T be a spanning tree of a graph G and S V (G) be a set of sources. The routing cost of T is the total distance from all sources to all vertices. For an edge e of T, the swap ...
In this paper, we present a new efficient strategy for constructing a wireless tree network containing n nodes of diameter while satisfying the QoS requirements such as bandwidth...
In this paper we consider the reconstruction problem on the tree for the hardcore model. We determine new bounds for the non-reconstruction regime on the k-regular tree showing non...
This paper concerns the task of removing redundant information from a given knowledge base, and restructuring it in the form of a tree, so as to admit efficient problem solving ro...
We present an algorithm for maintaining binary search trees. The amortized complexity per INSERT or DELETE is O(log n) while the worst-case cost of a SEARCH is O(log n). Scapegoat...
We present an improvement to Harvey and Ginsberg's limited discrepancy search algorithm, which eliminates much of the redundancy in the original, by generating each path from...
We consider the problem of finding efficient trees to send information from k sources to a single sink in a network where information can be aggregated at intermediate nodes in t...
This paper presents a new method for realistic real-time rendering of tree foliage. Some approaches to this problem have been presented before but the quality of their results was...