Báo cáo toán học: " Characteristic Points of Recursive Systems" docx

... are characteristic points and (a, b) ≤ (c, d). Then (a, b) = (c, d). Thus the set of characteristic points of the system forms an antichain under the partial ordering ≤. Proof. For the proof assume, ... point of the doma i n of G ∗ (x, y) whose location is not detected by the method of characteristic points. Remark 25. On p. 83 of their 1989 paper [15] Meir and Moon off...

Ngày tải lên: 08/08/2014, 12:22

... trees of a 5- wheel 3 A bijection between slope vectors and complement- reducible graphs In this section we count the points of S 2 (K n ), the slope variety of K n over F 2 . The points of F ( n 2 ) 2 have ... spanning tree of W . Proof. (⇐) Suppose that H a is a coupled spanning tree of W . When τ W is written in the form of equation (1), over F 2 , it is the sum of all...

Ngày tải lên: 08/08/2014, 12:23

... 2 we derive the coefficients of the characteristic polynomial of S(G σ ) in terms of G σ , which is similar to the result of the coefficients of the characteristic polynomial of the adjacency matrix ... ···, 1 λ n i} for the skew-adjacency matrix of −→ T −1 is the inverse of the skew-adjacency matrix of −→ T and the negative of each eigenvalue of T is also an eigenvalue...

Ngày tải lên: 08/08/2014, 14:23

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Ngày tải lên: 05/08/2014, 09:46

... result of Kannan, Tetali and Vempala to com- pletely solve, via a simple proof, the problem of random generation of a labeled tournament with a given score vector. The proof uses the method of path ... score vector of a tournament is the sequence of out- degrees of the vertices of the tournament. In general, given a score vector with n scores, there can be an exponential (in n...

Ngày tải lên: 07/08/2014, 06:20

... member of the second coordinate of the label of y, delete the edge x j y.If the digit of z is 3 and y is not a member of the second coordinate of the label of z, delete the electronic journal of ... Subclaims, the proof of our lemma is complete. 5 Proof of the Main Theorem In this section, we present the proof of the main theorem. Let C be a topologically closed class o...

Ngày tải lên: 07/08/2014, 06:23

... ϕ(G) denotes the Q -characteristic polynomial of G, while φ(G) denotes the A- characteristic polynomial of A(G). Finally if G is a graph, then S(G) denotes the subdivision graph of G, obtained f ... spectrum of D a,b,0 (with δ  3). Lemma 3.4. The spectrum of D a,b,0 with δ = gcd(a, b)  3 consists of the eigenvalues of C δ (except 2 and −2) with multiplicity 3, the eigenvalu...

Ngày tải lên: 08/08/2014, 12:22

... valuation of sequences counting Alternating Sign Matrices. Journal of In teger Sequences, 12:1–21, 2009. [5] D. Zeilberger. Proof of the Alternating Sign Matrix conjecture. Electronic Journal of Combinatorics, ... a careful reading of the manuscript. The work of the second author was partially f unded by NSF-DMS 0713836. References [1] D. Bressoud. Proofs and Confirmations: the sto...

Ngày tải lên: 08/08/2014, 14:23

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Ngày tải lên: 05/08/2014, 09:46

... correspondence of the results: 18 measurements for lifting a leg of a lying patient were acco mplished and resulted in a mean value of 2.8 kN of compressive force with a range of 1.9 to 4.0 kN. The ... part of the body of the patient . The temporal c ourses of the hand- action forces reach a peak value of the force component in downward direction, i.e. s upporting caregivers...

Ngày tải lên: 20/06/2014, 00:20