On the Arrangement Complexity of Uniform Trees
نویسندگان
چکیده
This paper studies the arrangement problem of uniform trees and shows that the arrangement complexity of a uniform tree is either (1) or ((lg n))(> 0). It also presents a recursive algorithm to compute the optimal complete arrangements for (1) arrangeable balanced uniform trees.
منابع مشابه
A New Heuristic Algorithm for Drawing Binary Trees within Arbitrary Polygons Based on Center of Gravity
Graphs have enormous usage in software engineering, network and electrical engineering. In fact graphs drawing is a geometrically representation of information. Among graphs, trees are concentrated because of their ability in hierarchical extension as well as processing VLSI circuit. Many algorithms have been proposed for drawing binary trees within polygons. However these algorithms generate b...
متن کاملParallel Generation of t-ary Trees
A parallel algorithm for generating t-ary tree sequences in reverse B-order is presented. The algorithm generates t-ary trees by 0-1 sequences, and each 0-1 sequences is generated in constant average time O(1). The algorithm is executed on a CREW SM SIMD model, and is adaptive and cost-optimal. Prior to the discussion of the parallel algorithm a new sequential generation with O(1) average time ...
متن کاملتأثیر الگوی پراکنش درختان بر برآورد تراکم با روش نمونه برداری نزدیکترین فرد: مطالعات موردی در درختزارهای بنه زاگرس و تودههای شبیه سازی شده
Distance methods and their estimators of density may have biased measurements unless the studied stand of trees has a random spatial pattern. This study aimed at assessing the effect of spatial arrangement of wild pistachio trees on the results of density estimation by using the nearest individual sampling method in Zagros woodlands, Iran, and applying a correction factor based on the spatial p...
متن کاملتحلیل کمی و فضایی سنجههای پراکنش مکانی گیلاس وحشی ( .Prunusavium L ) در جنگلهای شمال (طرح جنگلداری حاجیکلا- تیرانکلی)
Knowing spatial pattern of plant communities is necessary to recognition of forest ecology and management. In order to investigation on the spatial distribution pattern of wild cherry, forest management plan of Hajikola-Tirancoly in Mazandaran Province was selected. The locations of Prunus avium L.individuals with 100% inventory were recorded through GPS equipment in three areas of case study ...
متن کاملSpanning trees in complete uniform hypergraphs and a connection to r-extended Shi hyperplane arrangements
We give a Cayley type formula to count the number of spanning trees in the complete r-uniform hypergraph for all r ≥ 3. Similar to the bijection between spanning trees of the complete graph on (n + 1) vertices and Parking functions of length n, we derive a bijection from spanning trees of the complete (r + 1)-uniform hypergraph which arise from a fixed r-perfect matching (see Section 2) and r-P...
متن کامل