Báo cáo toán học: "A Note on Maximal Nonhamiltonian Burkard–Hammer Graphs" pptx

... any nonhamiltonian Burkard–Hammer graph is contained in a maximal nonhamil- tonian Burkard–Hammer graph. So knowledge about maximal nonhamiltonian Burkard–Hammer graphs provides us certain information about nonhamiltonian Burkard–Hammer ... assume that all con- sidered in this paper maximal nonhamiltonian Burkard–Hammer graphs G = S(I ∪ K, E)haveδ(G)=|I|−k where |I|≥k...

Ngày tải lên: 06/08/2014, 05:20

... PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. A note on the almost sure limit theorem for self-normalized ... below). For information about publishing your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For in...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... denoted by |w|. Thus |banana| = 6, for example. The language consisting of all words over Σ is denoted by Σ ∗ . If x, y ∈ Σ ∗ , the concatenation of x and y, written xy, is simply the string consisting ... m j , and hence that l is a subword of h ω (a). This contradicts Lemma 2.6. The supposition that m j encounters m i leads to a contradiction. We conclude that m i and m j are incomparable,...

Ngày tải lên: 07/08/2014, 06:20

... representation of S n consists of the direct sum of the reflection representation and the trivial representa- tion. This trivial summand has no significant effect on the theory.) In this context it ... of nonnegative integer solutions to the equation λ 1 x 1 + ···+ λ k x k = N.Consequently, one easily verifies that f λ (q) is the generating function for the entries of the column corresponding ....

Ngày tải lên: 07/08/2014, 06:20

... for a constant κ<2/3, then it outputs a cover graph whp. Note that the output graph will have whp girth equal to 4. On a related note we point to [8] which surveys constructions of non cover ... electronic journal of combinatorics 7 (2000), #R19 9 [8] O. Pretzel, Orientations and Edge Functions on Graphs, in: A.D.Keedwell (ed.), Surveys in Combinatorics, London Math. Soc. Lecture N...

Ngày tải lên: 07/08/2014, 06:20

... information on Maple) implementation of the downhill simplex function optimization method (see [13] for a good description of the method and a C implementation) to the maximize the expression. This ... (3) When conditioning on the event C P 0 , the random graphs of the resulting probability space may contain edges only from within the edges that connect vertices of different partitions of...

Ngày tải lên: 07/08/2014, 06:20

... contained in arithmetic progression r mod ρ, where (k − )r ≡ 0modρ. If d  >ρthen every progression r mod d  consists of at most n/(ρ +1) elements hence it contains no more than 2 n/(ρ+1) subsets. ... function x(t)=(k +1−(k −)t)/2. Note that x(1) = ( +1)/2,x(t 2 )=2andx(t 1 )=1, where t 2 = k − 3 k −  ≥ 1andt 1 = k − 1 k −  . Furthermore, put H(x)= ln x x + x − 1 x ln x x − 1...

Ngày tải lên: 07/08/2014, 06:20