A COMBINATORIAL STUDY OF THE GROWING ALTITUDE ELEMENTARY PATHS OF THEPLANE LATTICE Z(2)

Authors
DACHRAOUI T CHERRUAULT Y REISS C
Citation
T. Dachraoui et al., A COMBINATORIAL STUDY OF THE GROWING ALTITUDE ELEMENTARY PATHS OF THEPLANE LATTICE Z(2), Kybernetes, 27(4-5), 1998, pp. 553
Citations number
7
Categorie Soggetti
Computer Science Cybernetics","Computer Science Cybernetics
Journal title
Kybernetes → ACNP
ISSN journal
0368492X
Volume
27
Issue
4-5
Year of publication
1998
Database
ISI
SICI code
0368-492X(1998)27:4-5<553:ACSOTG>2.0.ZU;2-A
Abstract
In this work we prove that a relationship exists between the elementar y paths of the plane lattice Z(2) and those with growing altitude. For tunately it is possible to make a more complete combinatorial study of the Z(2) growing altitude elementary paths and in particular those wi th barrier. From this combinatorial study we have established an impor tant relationship permitting the calculation of the number of growing altitude elementary paths with barrier and of given length.