Title :
Free objects of a band arising from graphs
Author :
Khan, Muhammad Younas
Author_Institution :
Dept. of Math. Sci., Univ. of Essex, Colchester, UK
Abstract :
The purpose of this paper is to present in contemporary terminology, a new approach to introduce free objects of a band, like free normal bands, free rectangular bands and free bands through graphs. The cardinalities of the free objects are also calculated, first for complete graphs. After removing of edges the resulting graphs become incomplete and regular. Green´s relations for free objects are also discussed and explained by an egg-box diagram. They may provide a way for codes through graphs.
Keywords :
graph theory; group theory; Green free object relations; complete graph; egg-box diagram; free band object; free normal band; free rectangular band; free semigroup; Barium; Computer science; Generators; Graph theory; Strontium; Terminology; Visualization;
Conference_Titel :
Computer Science and Electronic Engineering Conference (CEEC), 2011 3rd
Conference_Location :
Colchester
Print_ISBN :
978-1-4577-1300-2
DOI :
10.1109/CEEC.2011.5995834
