4-Regular graph of diameter 2
A regular graph is a graph where each vertex has the same degree. A regular graph with vertices of degree k is called a k -regular graph or regular graph of degree k . Let G be a graph, the distance between two vertices in G is the number of edges in a shortest path connecting them. The diameter of...
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| Những tác giả chính: | , |
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| Format: | Bài viết |
| Sprog: | English |
| Udgivet: |
Trường Đại học Đà Lạt
2012
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| Fag: | |
| Online adgang: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/33628 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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| Summary: | A regular graph is a graph where each vertex has the same degree. A regular graph with vertices of degree k is called a k -regular graph or regular graph of degree k . Let G
be a graph, the distance between two vertices in G is the number of edges in a shortest path connecting them. The diameter of G is the greatest distance between any pair of vertices. Let n/4 be maximum integer number so that there exists an 4-regular graph on n/4 vertices of diameter 2. We prove that n4=15
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