Báo cáo toán học: "Rainbow paths with prescribed ends" ppt

... containing all colors, as also proved in [6, 7]. [1, 2, 3, 6, 7] study k-colorings with long rainbow paths starting with any prescribed vertex. In this note we apply the circular chromatic number to refine ... (see also [4]) that, if k ≥ 3, then G even contains a cycle which contains a subpath with k vertices and with all the k colors occurring in the order 1, 2, . . . , k. In part...

Ngày tải lên: 08/08/2014, 14:23

... ten classes of permutations with forbidden patterns that are in one-to-one corre- spondence with Schr¨oder paths. Dyck paths are also closely related to permutations with forbidden patterns, see ... 153–174. [16] C. Krattenthaler, Permutations with restricted patterns and Dyck paths, Adv. Appli. Math., 27 (2001), 510–530. [17] D. Kremer, Permutations with forbidden subsequences...

Ngày tải lên: 07/08/2014, 07:21

... forced to start with +3 and continue until we obtain the whole 0-class. After which we may either continue with −2, −3, . . . or with +2, −3, . . In the first case we continue with −3 until we ... not linearly realizable. Proof Suppose we start with +2 and follow up with the string of +3’s thus getting to 3k + 2. In this case, once we start with a congruence class we must complet...

Ngày tải lên: 08/08/2014, 12:22

... composition and performance. We collaborated with an electronic musician to observe the real flexibility and the capabilities of such a system, when handled by a user with deep musical skills but no robot ... setup The robot employed in this study is a Barrett WAM with 7 revolute DOFs back- drivable arm, controlled by inverse dynamics solved with recursive Newton Euler algorithm [33]....

Ngày tải lên: 20/06/2014, 20:20

... random fixed point. 5 for y ∈ X with y = x. It is well known that the above inequality is equivalent to lim sup n→∞ x n − x < lim sup n→∞ x n − y for y ∈ X with y = x. It is well known ... continuous, if for each {x n } ⊂ X with x n  x, then J(x n )  ∗ J(x). Recall that a Banach space X is said to satisfy Opial  s condition if, for any {x n } ⊂ X with x n  x, the following...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

... T k (x) with eigenvalue h 2ν (x). Since T k (x) commutes with the action of S λ/µ ,wehave T k (x)(e(v)) = e(T k (x)v) = e(h 2ν (x)v) = h 2ν (x)e(v). (2.42) i.e. e(v)isalsoaneigenvectorofT k (x) with ... S n with k fixed points, and standard tableaux of all normal shapes λ  n such that λ has exactly k columns of odd length. Fact 3.8. Let T be a standard tableau of shape D, which is a s...

Ngày tải lên: 07/08/2014, 06:20