Báo cáo toán học: "Edit distance and its computation" pot
... of graphs. The theorems of Erd˝os and Stone [15] and Erd˝os and Simonovits [14] give that d ∗ (M) = 1/r, where r = min{χ(F ) − 1 : F ∈ M} and p ∗ (M) = 1. Alon and Stav, in [2], prove that d ∗ (Forb(K 1,3 )) ... ∪ . VB(K) and the edges are partitioned E(K) = EW(K) ∪ . EG(K) ∪ . EB(K). The sets VW and VB are the white and black vertices, respectively, and the sets EW, EG an...
Ngày tải lên: 07/08/2014, 15:23
Ngày tải lên: 05/08/2014, 10:20
... explicit determination of root systems and lattices involved. 5 Acknowledgements We thank Ed Assmus, Michel Deza, and Vladimir Tonchev for sending us their preprints and Chris Charnes, Slava Grishukhin ... transpires that the lattice depends solely on the code and therefore, by combining with the results in [A,TW ], since the code depends solely on its dimension, solely on the 2-ran...
Ngày tải lên: 07/08/2014, 06:20
Báo cáo toán học: "Tournament Sequences and Meeussen Sequences" pot
... name “random knock-out tournaments.” A sequence (t 1 , ,t n ) represented a tournament of n rounds beginning with 1 + t i players; in the first round 2t n players are paired off randomly and the ... the two trees, and therefore a unique bijection between tournament sequences and Meeussen sequences which respects the ideas of extending or truncating a sequence. To better understand Meeus...
Ngày tải lên: 07/08/2014, 06:20
Báo cáo toán học: "Continued fractions and Catalan problems" pot
... pattern and that T is among the smallest such trees. We let v 3 be a vertex in T that provides the 3 in such a pattern and let v 1 ,v 2 be the vertices that provide the corresponding 1 and 2, ... 4 2 Lattice paths and ordered trees We draw our ordered trees with the root at the top and proceed downward to the leaves. The first leaf is the leftmost leaf in the drawing and the remain...
Ngày tải lên: 07/08/2014, 06:20
Báo cáo toán học: "Parking Functions and Noncrossing Partitions" pot
... poset of rank n with ˆ 0and ˆ 1 and with rank function ρ. (See [29, Ch. 3] for poset terminology and notation used here.) Let S be a subset of [n − 1] = {1, 2, ,n−1}, and define α P (S)tobethenumberofchains ˆ 0= t 0 <t 1 <··· ... a<b<c<dand some block B of π contains both a and c,whilesomeblockB of π contains both b and d,thenB= B . We establish some connections...
Ngày tải lên: 07/08/2014, 06:22
Báo cáo toán học: " Inclusion-Exclusion and Network Reliability" pot
... (E,φ)where|E|=nand for any X ⊆ E, φ(X) = 1 if and only if |X|≥k. Note that the minpaths and mincuts of (E,φ)are the k-subsets and (n − k + 1)-subsets of E, respectively. Now, let E be totally ordered, and ... network and φ(X) = 1 if and only if X contains the edges of an s, t-path. For source-to-T -terminal reliability we take Σ = (E,φ), where E is the edge-set of the network and...
Ngày tải lên: 07/08/2014, 06:22
Báo cáo toán học: "Schur functions and alternating sums" potx
... Pieri and Murnaghan-Nakayama rules, the Jacobi-Trudi identity and its dual (Von N¨agelsbach- Kostka) identity, their proofs using the correspondence with lattice paths of Gessel and Viennot, and ... transposing theentries 0and1 atindices 1and2 of(µ + α)[ ] or by transposing the entries −2 and −3 at indices 3 and 4. The result can be written as (4, 3, 3, 2, 2)[ ] respectively as...
Ngày tải lên: 07/08/2014, 08:22
Báo cáo toán học: "Noncrossing Trees and Noncrossing Graphs" pot
... within the circle and do not cross each other. Noncrossing trees have been studied by Deutsch, Feretic and Noy [2], Deutsch and Noy [3], Flajolet and Noy [4], Noy [6], Panholzer and Prodinger [7]. ... as the root and let ψ(T 1 ) be the first subtree of the root and its reflection be the third subtree of the root. • Step 2. Let T 2 be the subtree obtained from T by deleting T 1 ,...
Ngày tải lên: 07/08/2014, 13:21
Báo cáo khoa học: "Revision Learning and its Application to Part-of-Speech Tagging" pptx
... class and negative training examples for the other classes. As a result, positive and negative examples for each class are generated. Suppose we have five candidate classes A, B, C, D and E , and ... tags and the lexical forms of the two words preceding w, which are given by HMMs; 2. the POS tags and the lexical forms of the two words following w; 3. the lexical form of w and the...
Ngày tải lên: 17/03/2014, 08:20