Path counting

Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Counting segmented permutations using bicoloured Dyck paths...

18p thulanh5 14-09-2011 37 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: Counting peaks and valleys in k-colored Motzkin paths...

20p thulanh5 13-09-2011 54 3   Download

We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms of closed random walks on the halfline. We explain how these identities arise from combinatorial interpretations of certain properties of the -Hermite and -Laguerre ensembles of random matrix theory. We conclude by presenting two other identities obtained in the same way, for which finding combinatorial proofs is an open problem....

16p thulanh5 12-09-2011 71 4   Download

Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: Counting Lattice Paths by...

9p thulanh4 10-09-2011 45 3   Download

Which two statements are true of EIGRP topology depth? (Choose two.) Topology depth should be limited to 15 routers. Redundant links and alternative paths can be used to reduce topology depth. Topology depth is the maximum hop count between any two EIGRP routers in the topology. Route summarization can reduce the convergence time in networks with large depth. Topology depth is the number of router hops necessary for traffic to reach from access layer to core layer. Topology depth refers to the total number of hops that information must travel to reach all EIGRP routers in the network....

8p danhson1409 26-12-2010 133 14   Download

A routing algorithm constructs routing tables to forward communication packets based on network status information. Rapid inflation of the Internet increases demand for scalable and adaptive network routing algorithms. Conventional protocols such as the Routing Information Protocol (RIP) (Hedrick, 1988) and the Open Shortest-Path First protocol (OSPF) (Comer, 1995) are not adaptive algorithms; they because they only rely on hop count metrics to calculate shortest paths. In large networks, it is difficult to realize an adaptive algorithm based on conventional approaches. ...

16p tienvovan 11-09-2010 80 7   Download