Báo cáo toán hoc:" Bounds on the Distinguishing Chromatic Number" pptx

... about χ D (G) based on the automorphism group of G. Since the publication of [4], the topic of the electronic journal of combinatorics 16 (2009), #R88 2 Bounds on the Distinguishing Chromatic Number Karen ... distinguish them? The subject has received considerable attention since then (e.g., see [1, 2, 9, 14]). In the definition of the distinguishing number, there i...

Ngày tải lên: 08/08/2014, 01:20

Ngày tải lên: 05/08/2014, 15:20

... Journal on Applied Signal Processing Consider first the simple case where the channel condi- tions are fixed, that is, H is constant. The capacity region of the multiple-access channel is then the ... definition, the rate pairs in B 1 (p)andB 2 (p) only satisfy the constraint on the individual rates R 1 and R 2 , respectively; the rate pairs in B a (p) only satisfy the co...

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... 2. The elements or points of PG(n, 2) are the one-dimensional vector subspaces of F n+1 2 ; the lines of PG(n, 2) are the two-dimensional vector subspaces of F n+1 2 . Each such one-dimensional ... [4]. In the following sections, we present bounds on the Tur´an density of PG(3, 2). the electronic journal of combinatorics 11 (2004), #N3 1 otherwise π(H 3 ) ≤ π(F)= 3 4 =0.75 w...

Ngày tải lên: 07/08/2014, 08:20

... bounds for the average L p -extreme dis- crepancy. With these bounds we are able to derive upper bounds for the inverse of the L ∞ -extreme discrepancy with optimal dependence on the dimension ... x l )  p + 2 −d dzdz, wherewemadethesubstitutions z = w−x+h and z = w−x−h. If we restrict the domain of integration and use the simple geometric observation mentioned in the d...

Ngày tải lên: 07/08/2014, 13:21

... ,r k ;n whose contribution to the generating function is exactly the right side of the identity. Then, we have to construct a killing involution on G r 1 , ,r k ;n − S, i.e., an involution on G r 1 , ... =  0. As before, the number of cycles changes its parity due to the multiplication by a transposition, and hence: (−1) cyc(π) = −(−1) cyc(π  ) . Hence, the total contributi...

Ngày tải lên: 07/08/2014, 15:22

... gives a good approximation for the π-electron energy of a molecule where G is then the corresponding molecular gra ph. For a survey on the energy of graphs, see [9]. The H¨uckel energy of G, ...  n 2  1 + √ n − 1  , (3) the electronic journal of combinatorics 16 (2009), #R134 2 Figure 1: The paw and the diamond graphs which means that at least one of the diamond graph, t...

Ngày tải lên: 08/08/2014, 01:20

... nonlinear property, the existence of strong solution remains open. For the infinite- dimensional dynamical systems, Sell [5] constructed the semiflow generated by the weak solution which ... a contractive function, (2) how to deduce the uniformly asymptotical compactness from a contractive function, (3) how to obtain the convergence of contractive function. 2 Main results Notation...

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