Báo cáo toán học: "Lattice points in Minkowski sums" pps

... surfaces. Interdiscip. Inf. Sci., 12(2):93–107, 2006. the electronic journal of combinatorics 15 (2008), #N11 5 Lattice points in Minkowski sums Christian Haase, Benjamin Nill, Andreas Paffenholz ∗ Institut ... 14M25 Abstract Fakhruddin has proved that for two lattice polygons P and Q any lattice point in their Minkowski sum can be written as a sum of a lattice point in P and one...

Ngày tải lên: 07/08/2014, 15:23

... j ending in the value k 1 . Appending k 2 , we have an ascending subsequence of length j + 1 ending in the value k 2 , contradicting k 2 ∈ B j . These properties determine π uniquely, since the ... signed points, called Toeplitz points, inZ d , with the following property: for every n>0, the excess of the number of lattice walks of n steps, from the origin to all positive Toeplitz p...

Ngày tải lên: 07/08/2014, 06:22

... four-face fall into the same class, then there is a chain of ’opposite’ vertices connecting them. Arguing with such a chain enclosing a minimum number of faces leads to a contradiction. Finally, show ... Every vertex v has one outgoing edge in each label. The edges e 1 ,e 2 ,e 3 leaving v in labels 1,2,3 occur in clockwise order. Each edge entering v in label i enters v in the clock...

Ngày tải lên: 07/08/2014, 08:20

... t). A join pair (G, t) is a join covered pair if each edge of G lies in a minimum t-join. Note that if T is a t-join in a join pair (G, t) and C is a circuit with more than half its edges in T , ... circuit containing P also contains all the other ears of X, including Q. By the inductive hypothesis, H has a comb T  H , equivalent to T ∩ EH, that has a balanced circuit containing e and...

Ngày tải lên: 07/08/2014, 15:23

... P η 3 are three distinct F q 3 –rational points conjugate over F q . In either case, a straightfo r ward computation shows that these points are double points for Γ. Certainly, we see that Γ ... P 1 = P Φ 2 , since Γ has no F q –rational points, the three distinct F q 3 –rational intersection points of Γ and the line y = 0 are {P 1 , P 2 , P Φ 1 }. Then by (11) we obtain (u + √ u 2...

Ngày tải lên: 07/08/2014, 21:21

... pointed by the vertex v i . Let x = (x 1 , x 2 , . . . , x p ) be an integer vector such that Ax  0 where A is the point- circuit incidence matrix defined in Section 3. Comparing the ith coordinate ... pointed and, therefore, have property P. Moreover, as noted in the proof of Lemma 17, the graph complexes of C 3 and C 4 are also pointed a nd so have property P. The only remaining graph...

Ngày tải lên: 08/08/2014, 12:22

... [22], obtained in the context of pattern-avoiding ordered matchings. Let us begin by giving a description of 312-avoiding and 231-avoiding partial transver- sals. We first introduce some terminology. ... avoiding simultaneously the two patterns 2-41-3 and 3-14-2. Baxter permutations were orig inally introduced by G. Baxter [5] in 1964, in the study of common fixed points of commuting co...

Ngày tải lên: 08/08/2014, 12:23

... above, we can infer that ζ N (a, b, c) can be written as a linear combination of products of double and single ζ N -sums and error terms. Finally, we shall see that in this linear combination, the ... from applying the skein relation (now viewed as a renormalization procedure) to link diagrams that encode the intertwining of loop momenta in Feynman diagrams. This sets a premium on knowing...

Ngày tải lên: 07/08/2014, 06:20

... giving instructions. T23 felt that a persistence in doing routine activities in Chinese might result in teacher-fronted lessons in which individual students might only be speaking and practicing ... Shih-Chang Hsin. 2011. The development of TCSL teacher training in Taiwan . In Teaching and learning Chinese in global contexts, eds. Linda Tsung and Ken Cruickshank, 165-180. Co...

Ngày tải lên: 20/06/2014, 21:20

... 2007) incorporate boolean rules into constraint-based models for integrated simu- lation of regulatory and metabolic networks. Integrated FBA (iFBA) extends rFBA by integrating kinetic information ... Something from nothing – bridging the gap between constraint-based and kinetic modelling. FEBS J 274(21):5576–5585 Smallbone K, Simeonidis E, Swainston N, Mendes P (2010) Towards a genome-scale...

Ngày tải lên: 20/06/2014, 21:20