Báo cáo toán học: "Weighted Aztec Diamond Graphs and the Weyl Character Formula" doc

... let Weighted Composition Operators Between Different Weighted Bergman Spaces 257 function theoretic characterizations are given for the boundedness and compact- ness of the weighted composition operators. Throughout ... (2006) 255–264 Weighted Composition Operators Between Different Weighted Bergman Spaces in Polydiscs Li Songxiao * Department of Math....

Ngày tải lên: 06/08/2014, 05:20

... Journal of Mathematics 34:1 (2006) 51–61 Weighted Estimates of Multilinear Singular Integral Operators with Variable Calder´on-Zygmund Kernel for the Extreme Cases * Liu Lanzhe College of Math. ... C ||=m D A BMO . This completes the proof of Theorem 1.  Proof of Theorem 2. We only give the proof for case of homogeneous Herz type Hardy space. Without...

Ngày tải lên: 06/08/2014, 05:20

... C.C.Rousseau and R.H.Schelp, Ramsey minimal graphs for star forests, Discrete Math. 33 (1981), 227–237. [4] S.A.Burr, P.Erd˝os, R.J.Faudree, C.C.Rousseau and R.H.Schelp, Ramsey minimal graphs for match- ings,inThe ... Threshold functions for Ramsey properties,submitted. Key words and phrases: critical graphs, Ramsey theory 1991 Mathematics Subject Classifications: 05D10, 05C80 4 O...

Ngày tải lên: 07/08/2014, 06:20

... and φ cannot be distinguishing. This contradicts our assumption that φ is an r-distinguishing labeling. ✷ We remark that this proves that the largest integer in D(S 3 )is3,since the subgroups ... the goal is to minimize the number of colors used. Consequently we define the distinguishing number of a graph G by D(G)=min{r | G has a labeling that is r-distinguishing}. The original key problem...

Ngày tải lên: 07/08/2014, 06:20

... the class of all 4-chromatic graphs. The structure of the red graph is obvious by Corollary, but we do not know which graphs can occur as blue graphs and what are the properties of graphs in which ... on the Wall, a list of conjectures of Graffiti. Ramseyan Properties of Graphs by Ermelinda DeLaVina delavina@math.uh.edu Siemion Fajtlowicz siemion@math.uh.edu Uni...

Ngày tải lên: 07/08/2014, 06:20

... The notion of orthogonal colorings is strongly related to the notion of orthogonal Latin squares. The orthogonal chromatic number of G, denoted by Oχ(G), is the minimum possible number of colors ... 2, 3, 1, 3). The notion of k -orthogonal colorings is strongly related to the notion of orthogonal Latin squares. Recall that two Latin squares L 1 ,L 2 of order r are...

Ngày tải lên: 07/08/2014, 06:20

... parts are all of size one. Alternately, the complement of such a graph either has no edges or consists of the the disjoint union of three or fewer complete graphs. Proof. The complement of K − 5 is ... similar proofs for complexes of dimension 2 and higher. We conjecture that the answer is “yes,” but the complexity of the proof would be astronomical, even for dimension 2. Hidden...

Ngày tải lên: 07/08/2014, 06:20

... motivations of Odlyzko and Wilf, when they study the width of labeled trees, is to give a tight estimate for the average bandwidth of this class of tree. 2 The breadth first search random walk From ... initially (0). Then, at each of the n following stages of the BFS, the vertex x at the head of the queue is removed from the queue, and all “new” neighbor...

Ngày tải lên: 07/08/2014, 06:22

... be the product of the weights of all the edges in the matching. Then the weight of the Aztec graph A is (A)=  m (m), the sum over all matchings of A. Using the tilted version of the Aztec diamond ... 1)-order Aztec diamond subgraphs A NW , A SW ,andA SE .LetA mid be the (n − 2)-order Aztec diamond subgraph of A lying directly in the middle, concentric wi...

Ngày tải lên: 07/08/2014, 08:20

... |Γ|≤m! and the subset {y 1 , ,y j } satisfies 1. φ(y i )=i for each i, 2. y i+1 is in Γ i−1 .y i for each i from 2 to j − 1, and y 1 is in Γ j−1 .y j , then j ≤ m and |Γ i−1 .y i |≥j − i + 2for each ... shows this and two other graphs with the same automorphism group and demonstrates that all three have different distinguishing numbers. This example disproves a conjecture in [...

Ngày tải lên: 07/08/2014, 08:20

... 4 2 These are the simple roots of E 8 , which span the E 8 lattice. They correspond to the vertices v 1 , . . . , v 8 of Dyn(E 8 ), in the order shown on the right. This ordering of simple the ... reflect the structure of the underlying root system. The main examples are E 6 and E 7 . 1 Introduction The primary goal of this paper is to provide a convenient way...

Ngày tải lên: 07/08/2014, 21:20

... the transposition of the remaining two vertices. This implies that the only graphs which have fix(G) = n−1 are the complete graphs and the empty graphs. On the other hand, the graphs with fix(G) ... e), where v and e are a vertex and an edge of G, and v and e are incident. Inf(G) has an edge between (v 1 , e 1 ) and (v 2 , e 2 ) if v 1 = v 2 or e 1 = e 2 . We denote the...

Ngày tải lên: 07/08/2014, 21:21

... (G [X 1 ]) εn, v(N) > 3r−4 3r−1 n + 2εn. Now consider u ∈ N. We have d N (u) > v(N) −  3 3r − 1 − 4ε  n > v(N) −  3 3r − 1 − 4ε  3r − 1 3r − 4 v(N) >  3r − 7 3r − 4 + 4ε  v(N) . By ... |V 1 | − n 3r−1 choices for v 1 . At the second step we have more than |V 2 | − n 3r − 1 −  3 3r − 1 − 4ε  n + (|V 1 | −...

Ngày tải lên: 08/08/2014, 11:20

... Yang, Spanning Trees on the Sierpinski Gasket, J. Stat. Phys., 126, No. 3, (2007), 649–667. [7] D. D’Angeli, A. Donno and T. Nagnibeda, Partition functions of the Ising mo del on some self-similar ... functions of the spanning trees in the directional model and in the Schreier model, are different. 3 Spanning trees on the Schr eier graphs of the Hanoi Towers group In this...

Ngày tải lên: 08/08/2014, 12:23

... hypergraph s, leading to definitions of planar hypergraphs and self-dual planar hypergraphs. T here exist infinitely many self-dual planar 3-uniform hypergraphs, and, as a consequence, there exist ... Self-dual Planar Hypergraphs and Exact Bond Percolation Thresholds John C. Wierman ∗ Department of Applied Mathematics and Statistics Johns Hopkins University wierman@jh...

Ngày tải lên: 08/08/2014, 14:22