Báo cáo toán học: "Descendants in increasing trees" docx

... trees are equipped with increasing labellings. Thus we are considering simple families of increasing trees,which are introduced in [1]. Several important tree families, in particular recursive ... of increasing trees can be constructed from simply generated tree families, if one considers for every tree of size n all its increasing labellings, i. e. labellings of the nodes by dist...

Ngày tải lên: 07/08/2014, 13:21

... monotonically increasing when going from the root to the leaves. Figure 1. All 15 heap ordered trees with 4 nodes the electronic journal of combinatorics 3 (1996), #R29 7 Figure 3. The beginning of ... H. Prodinger. On the number of descendants and ascendants in random search trees. In preparation, 1996. DESCENDANTS IN HEAP ORDERED TREES OR A TRIUMPH OF COMPUTER ALGEBRA Helmut Proding...

Ngày tải lên: 07/08/2014, 06:20

... “generating function”. In Section 2, we find the descent g.f. for noncrossing trees. In Section 3, we show a bijection between noncrossing trees and connected noncrossing graphs that explains combinatorially ... g.f. ¯ I n obtained by reversing the order of the coefficients of the inversions g.f. I n ;thatis, ¯ I n (t)=t ( n−1 2 ) I n (1/t). The direct analogy in the noncrossing case does...

Ngày tải lên: 07/08/2014, 07:21

... solvable minimum spanning tree problem. Replacing ‘k-hypertree’ with ‘linear k-tree’ in the above definition drastically reduces the complexity of the problem. By Theorems 2.4 and 2.3 the linear k-forests ... is linearly k-connected,orsimply k-connected, if for each polynomial p ∈ n−1 k−1 , there is an edge e ∈Hwhich crosses p.The scrutinizing reader might have sensed something amiss in th...

Ngày tải lên: 07/08/2014, 07:21

... suggestions, including a beautiful simplification of my original proof of Lemma 3.1 and for bringing to my knowledge the paper of Cools [4] and Question 1.2. Thanks to the SFSU-Colombia Combinatorics Initiative ... leaves gives a point in the tropical Grassmannian G m,n , and therefore gives rise to a tropical linear space. The combinatorial structure of those tropical linear spaces is the s...

Ngày tải lên: 08/08/2014, 01:20

... Finally, in Section 5, based on this study, we give very short proofs of our main results – Theorems 4, 5, 6 and 7. 2 Embedding trees in expanding graphs We start by defining a class of expanding ... almost spanning trees in random graphs, submitted. [4] J. Friedman and N. Pipp enger, Expanding graphs contain all small trees, Combinator- ica 7 (1 987), 71–76. [5] P. Haxell, Tree embeddin...

Ngày tải lên: 08/08/2014, 11:20

... diabetes [1]. In the field of tissue engineering, magnetic nanoparticles have been previously reported for many applications including cellular labelling, sorting and monitoring, targeted in- vivo ... containing 10% heat inactivated foetal bovine serum [FBS], 2 mM L-glutamine and 1% penicillin streptomycin [Penstrep] (all purchased from Invitrogen Ltd., Renfrew, UK). RAW264.7 cells (ki...

Ngày tải lên: 20/06/2014, 20:20

... cos(0.2πn) 0 0.1 sin(0.2πn) 0 0 0 0 0.01 sin(0.2πn)   , B(n) = (b ij (n)) =   7 + sin(0.2πn) 0.1 sin(0.2πn) 0.01 sin(0.2πn) 0.1 cos(0.2πn) 7 + sin(0.2πn) 0 0.01 sin(0.2πn) 0 7 + sin(0.2π n )   . 11 and (C L u) i (n) ... below). For information about publishing your research in Advances in Difference Equations go to http://www.advancesindifferenceequations.com/authors/instructions/ F...

Ngày tải lên: 20/06/2014, 20:20

... a very large database of RSS fingerprints. Machine learning techniques are employed to extract the location information from online RSS measurements showing promising performance for room-level ... reproduction in any medium, provided the original work is properly cited. al. propose a channel parameter estimator for joint com- munications and positioning systems, using soft infor- mation co...

Ngày tải lên: 20/06/2014, 21:20