1403/02/04
دوستعلی مژده

دوستعلی مژده

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 011-35302448

مشخصات پژوهش

عنوان
Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs
نوع پژوهش
JournalPaper
کلیدواژه‌ها
k-domination number, Nordhaus{Gaddum inequality, open packing number, packing number, total domination number.
سال
2020
مجله Contributions to Discrete Mathematics
شناسه DOI
پژوهشگران Doost Ali Mojdeh ، Babak Samadi ، Lutz Volkmann

چکیده

We study the Nordhaus-Gaddum type results for (k−1,k,j) and k-domination numbers of a graph G and investigate these bounds for the k-limited packing and k-total limited packing numbers in graphs with emphasis on the case k=1. In the special case (k−1,k,j)=(1,2,0), we give an upper bound on dd(G)+dd(¯¯¯¯G) stronger than the bound presented by Harary and Haynes (1996). Moreover, we establish upper bounds on the sum and product of packing and open packing numbers and characterize all graphs attaining these bounds.