EL-Kholy, E., El-Sharkawey, N. (2016). Associated graphs and chain maps. test, 37(1), 7-20. doi: 10.21608/djs.2016.139913
E. EL-Kholy; N. El-Sharkawey. "Associated graphs and chain maps". test, 37, 1, 2016, 7-20. doi: 10.21608/djs.2016.139913
EL-Kholy, E., El-Sharkawey, N. (2016). 'Associated graphs and chain maps', test, 37(1), pp. 7-20. doi: 10.21608/djs.2016.139913
EL-Kholy, E., El-Sharkawey, N. Associated graphs and chain maps. test, 2016; 37(1): 7-20. doi: 10.21608/djs.2016.139913

Associated graphs and chain maps

Delta Journal of Science
Article 2, Volume 37, Issue 1, June 2016, Pages 7-20    PDF (1.19 M)
Document Type: Research and Reference
DOI: 10.21608/djs.2016.139913
Authors
E. EL-Kholy; N. El-Sharkawey
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Abstract
In this paper, we defined the associated graph constructed to a
cellular folding defined on regular CW-complexes. These
graphs declare the effect of a cellular folding on the complex.
Besides we studied the properties of this graph and we proved
that it is connected and vertex transitive if the cellular folding is
neat.
Finally, by using chain maps and homology groups we
obtained the necessary and sufficient conditions for a cellular
map to be cellular folding and neat cellular folding respectively.
Keywords
Cellular folding; chain map; regular CW-complexes; vertex transitive; neat folding
Statistics
Article View: 86
PDF Download: 197