محمد السيد عبد العال عبد الغنى
مدرس
FURTHER RESULTS ON ODD HARMONIOUS GRAPHS
International Journal on Applications of Graph Theory in Wireless Ad hoc Networks and Sensor Networks (GRAPH-HOC) • 2016
معلومات البحث
المؤلفون
M.A.Seoud M.E.Abdel-Aal
الكلمات المفتاحية
Odd harmonious labeling, m-shadow graph, m-splitting graph.
المجلة العلمية
International Journal on Applications of Graph Theory in Wireless Ad hoc Networks and Sensor Networks (GRAPH-HOC)
الناشر
Not Available
المجلد
8
العدد
3
الصفحات
14
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
In [1] Abdel-Aal has introduced the notions of m-shadow graphs and n-splitting graphs, for all m, n ≥ 1.
In this paper, we prove that, the m-shadow graphs for paths and complete bipartite graphs are odd
harmonious graphs for all m ≥ 1. Also, we prove the n-splitting graphs for paths, stars and symmetric
product between paths and null graphs are odd harmonious graphs for all n≥ 1. In addition, we present
some examples to illustrate the proposed theories. Moreover, we show that some families of graphs admit
odd harmonious libeling.
In this paper, we prove that, the m-shadow graphs for paths and complete bipartite graphs are odd
harmonious graphs for all m ≥ 1. Also, we prove the n-splitting graphs for paths, stars and symmetric
product between paths and null graphs are odd harmonious graphs for all n≥ 1. In addition, we present
some examples to illustrate the proposed theories. Moreover, we show that some families of graphs admit
odd harmonious libeling.