Evaluating the Rank Generating Function of a Graphic 2-Polymatroid

Uniqueness of the decomposition of the rank function of a 2-polymatroid

A Mthod for Generating the Turbulent Intermittency Function

A detection method based on sensitization of a squared double differentiated signal is developed which discriminates the turbulent zones from laminar zones quite accurately. The procedure adopts a variable threshold and a variable hold time of the order of the Kolmogorov time scale. The output file so generated, includes all the information for further analysis of the turbulent signal.

Motzkin Numbers of Higher Rank: Generating Function and Explicit Expression

The classical Motzkin numbers (A001006 in [1]) count the numbers of Motzkin paths (and are also related to many other combinatorial objects, see Stanley [2]). Let us recall the definition of Motzkin paths. We consider in the Cartesian plane Z × Z those lattice paths starting from (0, 0) that use the steps {U,L,D}, where U = (1, 1) is an up-step, L = (1, 0) a level-step and D = (1,−1) a down-ste...

a structural survey of the polish posters

تصویرسازی قابلیتهای فراوانی را دارا است

M-Convex Function on Generalized Polymatroid

The concept of M-convex function, introduced recently by Murota, is a quantitative generalization of the set of integral points in an integral base polyhedron as well as an extension of valuated matroid of Dress–Wenzel (1990). In this paper, we extend this concept to functions on generalized polymatroids with a view to providing a unified framework for efficiently solvable nonlinear discrete op...