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Giải bài 2.28 trang 51 Chuyên đề học tập Toán 11 Kết nối tri thức

Giải bài toán người đưa thư với đồ thị có trọng số trên Hình 2.42.

🍨Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

🐼Giải bài toán người đưa thư với đồ thị có trọng số trên Hình 2.42.

Phương pháp giải - Xem chi tiết

Dựa vào bài toán người đưa thư để làm

Lời giải chi tiết

Đồ thị Hình 2.42 chỉ có hai đỉnh bậc lẻ là D và E nên ta có thể tìm được một đường đi Euler từ D đến E (đường đi này đi qua mỗi cạnh đúng một lần).Một đường đi Euler từ D đến E là DBACDEBCE và tổng độ dài của nó là2 + 4 + 4 + 2 + 6 + 3 + 5 + 1 = 27.Để quay trở lại điểm xuất phát và có đường đi ngắn nhất, ta cần tìm một đường đi ngắn nhất từ E đến D theo thuật toán gắn nhãn vĩnh viễn.Đường đi ngắn nhất từ E đến D là ECD và có độ dài là 1 + 2 = 3.Vậy một chu trình cần tìm là DBACDEBCECD và có độ dài là 27 + 3 = 30.
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Tham Gia Group Dành Cho Lớp 11 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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