Random records and cuttings in trees Svante Janson We consider random cutting down of rooted trees, defined as follows [6]. If T is a rooted tree with number of vertices |T | ≥ 2, we make a random cut by choosing one edge at random. Delete this edge so that the tree separates into two parts, and keep only the part containing the root. Continue recusively until only the root is left. We let X(T ...

We modify the k-d tree on [0, 1]d by always cutting the longest edge instead of rotating through the coordinates. This modification makes the expected time behavior of lowerdimensional partial match queries behave as perfectly balanced complete k-d trees on n nodes. This is in contrast to a result of Flajolet and Puech [J. Assoc. Comput. Mach., 33 (1986), pp. 371–407], who proved that for (stan...

Abstract Most forests are recovering from human land use, making it critical to understand the effect of disturbance on forest recovery. Forests eastern United States have a long history but is unknown whether historical disturbances contributed their transition ectomycorrhizal (ECM) arbuscular mycorrhizal (AM) tree dominance. Disturbance may promote nitrogen (N)‐fixing trees in early successio...

Abstract Taking into account that in Uzbekistan, great attention is being paid to the establishment of new gardens and vineyards, expansion area forests, greening roads avenues, amount pruning works will also increase. As a result, it expected size branches formed because their shaping increase, this bushy tree requires additional processing consideration possibilities targeted use order preven...

1 Graduate Student, Information Technology, Department of Computer Science, Faculty of Science, Khon Kaen University, Thailand 2 Assistant Professor, Computer Science, Department of Computer Science, Faculty of Science, Khon Kaen University, Thailand * corresponding author, e-mail: [email protected] Abstract Community forests are essential to the local population of Thailand. The problem is that...

We present a purely combinatorial solution of the problem of enumerating pla-nar bicubic maps with hard particles. This is done by use of a bijection with a particular class of blossom trees with particles, obtained by an appropriate cutting of the maps. Although these trees have no simple local characterization, we prove that their enumeration may be performed upon introducing a larger class o...

Mountain pine beetle activity was monitored in one set of 2.5 acre plots in the southern portion of the Black Hills National Forest over a 17-year period. Beetles attacked 77 percent of the trees in the uncut control, 48 percent of the trees in the growing stock level (GSL) 100/110, 53 percent of the trees in the GSL 80/90, and 9 percent of the trees in the GSL 60/70. The percentages of MPB-att...

We present a purely combinatorial solution of the problem of enumerating pla-nar bicubic maps with hard particles. This is done by use of a bijection with a particular class of blossom trees with particles, obtained by an appropriate cutting of the maps. Although these trees have no simple local characterization, we prove that their enumeration may be performed upon introducing a larger class o...