The Binding number of complements of double vertex graphs

Author

al-Tobaili, Said S.

Source

University of Sharjah Journal of Pure and Applied Sciences

Issue

Vol. 2, Issue 3 (31 Oct. 2005), pp.31-40, 10 p.

Publisher

University of Sharjah

Publication Date

2005-10-31

Country of Publication

United Arab Emirates

No. of Pages

10

Main Subjects

Mathematics

Topics

Abstract AR

أدخل العالم الرياضي woodall [1] مفهوم العدد الترابطي لبيان ما G, و أوجد العدد الترابطي لعدد من البيانات.

يرمز لعدد الترابطي لبيان ما G بالرمز (G) b و يعرف كالآتي : b (G) = min {|N (S)| / |S|, S ⊑ V (G), S ≠ V (G)} حيث : UuєS N(u) N (S) = و N (u) هي المجموعة المجاورة للرأس u.

حديثا كاتب هذا البحث أثبت أن العدد الترابطي للبيانات مضاعفة الرأس للبيان الكامل (p ≥ 5) K p هو : b (U2(Kp)) =(p2)-1) / (p2)- 2 (p-2) هذا البحث يوجد العدد الترابطي لمكملات البيانات مضاعفة الرأس للبيانات الكاملة (p ≥ 5) Kp.

Abstract EN

Woodall [1] introduced the idea of the binding number of a graph G and computed the binding number for several classes of graphs.

The binding number of a graph G , denoted by b ( G ) is defined by : b ( G ) = min where : N (S) = is the neighborhood of a vertex u.

Recently the author proved that the binding number of double vertex graph of the complete graph U2 (KP) ( p 5 ) is : b (U2 (KP) ) = This paper determines the binding numbers of the complements of double vertex graphs of complete graphs KP ( p 5 ).

American Psychological Association (APA)

al-Tobaili, Said S.. 2005. The Binding number of complements of double vertex graphs. University of Sharjah Journal of Pure and Applied Sciences،Vol. 2, no. 3, pp.31-40.
https://search.emarefa.net/detail/BIM-25603

Modern Language Association (MLA)

al-Tobaili, Said S.. The Binding number of complements of double vertex graphs. University of Sharjah Journal of Pure and Applied Sciences Vol. 2, no. 3 (Oct. 2005), pp.31-40.
https://search.emarefa.net/detail/BIM-25603

American Medical Association (AMA)

al-Tobaili, Said S.. The Binding number of complements of double vertex graphs. University of Sharjah Journal of Pure and Applied Sciences. 2005. Vol. 2, no. 3, pp.31-40.
https://search.emarefa.net/detail/BIM-25603

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 40

Record ID

BIM-25603