FOLDING SIMPLE CHAOTIC GRAPHS WITH DENSITY VARIATION
DOI:
https://doi.org/10.59743/jbs.v29i.65الكلمات المفتاحية:
Geometric graph، chaotic graphs، density، adjacency and incidence matrix، folding، topological foldingالملخص
Chaotic graph is a graph which carries physical characters with density variation; the density of chaotic graphs can be fixed and unique or different, according to this the representation of the chaoticgraphs by matrices is different to normal chaotic graphs. Firstly, we will discuss the idea of chaotic graphs with density variation showing how to obtain the adjacency and incidence matrix for each different case, and then we will discuss the idea of folding for simple chaotic graphs with density variation showing two types of folding chaotic graphs, the first type of folding is known as topological folding; the second type of folding concerns folding a vertex into another vertex and folding physical characteristics into their selves, in each case we will discuss the decrease or increase the degree of density
المراجع
El- Ghoul, M. Folding of fuzzy tours and fuzzy graphs, Fuzzysets and systems, 80, 389-396, North-Holland, (1996).
El-Ghoul M.; Folding of fuzzy graphs and fuzzy spheres, Fuzzysets and systems, Germany, 58.355-363, (1993).
El-Ahmady A. and Shamara H. M. : Fuzzy deformation retractof fuzzy horosphere. Indian J. Pure Appl. Math. , 32, 10, 1501-1506,(2001).
El-Ghoul M. ; El-Ahmady A ; Homda T.: On chaotic graphsand applications in physics and biology. Chaos, Solions and Fractals,27, 159-173, UK, (2006).
El- Ahmady A. and Rafa H.: A calculation of geodiesics inchaotic .at space and its folding. Chaos, Solions and Fractals, 30,836-844, UK, (2006).
El- Ahmady A.: The deformation retract of a manifold admittinga simple transitive group of motions and its topological folding. Bull.Cal. Math. Soc. , 96, 4, 279-284, (2004).
Giblin, P.J.: Graphs, surfaces and homology, an introduction toalgebraic topology. Chapman and Hall. Ltd, London 1977.
Gross, J.L. and Tucker, T.W.: Topological graph theory. JonWiley & Sons, Inc, Canada1987.
Wilson, R.J. and Watkins, J.J.: Graphs, an introductory ap-proach, a .rst course in discrete mathematics. Jon Wiley & Sons Inc,Canada, 1990.
Gibbon A.: Algorithmic graph theory. Cambridge University Press, Cambridge, UK, 1985.
Wilson R. J.: Introduction to graph theory. Oliver and Boyed, Edinburgh 1972.
El-Ghoul , M ; El- Zohny, H; Khalil, M, M.:On tape graphs.Journal of mathematics research. Vol.2, No.4.Issn:1916-9795, Canada,(2010).
التنزيلات
منشور
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2016 مجلة العلوم الأساسية
هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.
