Báo cáo toán học: "On the Theory of Pfaffian Orientations" pot

... equals the sign of the permutation i 1 j 1 i n j n of 12 (2n). Each nonzero term of the expansion of the Pfaffian of A(D) equals x(P ) or −x(P ) where P is a perfect matching of G.Ifs(D, P) denote the ... all the vertices belong to the base B 0 , and the embedding of each edge uses at most one bridge. The set of the edges embedded entirely on the base wi...

Ngày tải lên: 07/08/2014, 06:20

... G s =(V s ,E s ) the graph obtained from G by odd splitting of all vertices of T and even splitting of all vertices of V − T. If the edge f  of G s is the image of the edge f of G then we let x s f  = ... one-to-one correspondence with the perfect matchings P W of G s . Note that P W contains the set of the images of the edges of W . This together with...

Ngày tải lên: 07/08/2014, 06:20

... completes the proof of the theorem.  In the next theorem we show that the degree of hyperenergeticity grows at least exponentially with t he number of distinct prime divisors of n by making use of the ... m. 3. If α(λ) is the multiplicity of the eigenvalue λ of X n , then λα(λ) is a multiple of φ(n). 3. ENERGY OF UNITARY CAYLEY GRAPHS We first give a direct pro...

Ngày tải lên: 07/08/2014, 21:21

... α(j) = 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded if and only if the condition (5.5) is satisfied. Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark ... condition for the boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively. The next result provides a sufficient condition for the boundedness of...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20