Generalized order divisor graphs of finite group
عنوان مقاله: Generalized order divisor graphs of finite group
شناسه ملی مقاله: JR_THEGR-13-1_003
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_THEGR-13-1_003
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Parinyawat Choosuwan - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Tech- nology Thanyaburi (RMUTT), ۱۲۱۱۰, Pathum Thani, Thailand
Pannarin Sangsawang - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Cheevarat Matwangsang - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Sireethon Thongsupol - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Siripong Sirisuk - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
خلاصه مقاله:
Parinyawat Choosuwan - Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Tech- nology Thanyaburi (RMUTT), ۱۲۱۱۰, Pathum Thani, Thailand
Pannarin Sangsawang - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Cheevarat Matwangsang - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Sireethon Thongsupol - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Siripong Sirisuk - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, ۱۲۱۲۰, Pathum Thani, Thailand
Let G be a finite group and k a fixed positive integer. We define the generalized order divisor graph of G to be a graph whose vertex set is the group G and in which two vertices a and b are adjacent if and only if the orders o(a^k) and o(b^k) are different and either o(a^k) divides o(b^k) or o(b^k) divides o(a^k). This generalizes the order divisor graphs of finite groups. Some properties of our graph are introduced, and we investigate the structure of the generalized order divisor graphs of finite cyclic groups.
کلمات کلیدی: Power graph, star graph, cyclic group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1947298/