GRAFIKLAR NAZARIYASINING ASOSIY TUSHUNCHALARI
Keywords:
KALIT SO’ZLAR: Grafiklar nazariyasi, cho‘qqi (tugun), graf, qirra, yo’naltirilgan graf,yo’l, sikl,daraxt, to’liq graf,og’irlikli graf,eng qisqa yo’l,grafik model., KEYWORDS: Graph theory, Graph,vertex,edge, directed graph,undirected graph,connentivity,degree,path,cycle,tree,complete graph,weighted graph,shortest path,graph model.Abstract
Ushbu maqolada grafiklar nazariyasining asosiy tushunchalarini yoritishga bag‘ishlangan bo‘lib, unda graf, cho‘qqi (tugun), qirra, yo‘naltirilgan va yo‘naltirilmagan graf, bog‘langanlik, daraja, yo‘l, sikl, daraxt va to‘liq graf kabi fundamental tushunchalar izohlanadi. Grafiklar nazariyasining paydo bo‘lishi, rivojlanishi hamda informatika, matematika, transport tarmoqlari, kompyuter tarmoqlari va algoritmlarni loyihalashdagi amaliy ahamiyati ko‘rsatib beriladi. Mavzu talabalarda grafiklar yordamida real masalalarni modellashtirish, tahlil qilish va yechim topish ko‘nikmalarini shakllantirishga xizmat qiladi.
This topic is devoted to the basic concepts of graph theory and explains fundamental notions such as graphs, vertices (nodes), edges, directed and undirected graphs, connectivity, degree, paths, cycles, trees, and complete graphs. It also highlights the origin and development of graph theory, as well as its practical significance in computer science, mathematics, transportation networks, computer networks, and algorithm design. The topic aims to develop learners’ skills in modeling real-world problems using graphs, analyzing them, and finding effective solutions.
