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: Đỗ, Như An, Nguyễn, Đình Ái
Định dạng: Bài viết
Ngôn ngữ:English
Được phát hành: Trường Đại học Đà Lạt 2012
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Truy cập trực tuyến: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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spelling oai:scholar.dlu.edu.vn:DLU123456789-336282012-12-26T00:56:37Z 4-Regular graph of diameter 2 Đỗ, Như An Nguyễn, Đình Ái Regular graph Strongly regular graph diameter of graph 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 . 2012-12-26T00:56:37Z 2012-12-26T00:56:37Z 2012 Working Paper https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/33628 en Kỷ yếu Hội thảo công nghệ thông tin 2012;tr. 7-14 application/pdf Trường Đại học Đà Lạt
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Regular graph
Strongly regular graph
diameter of graph
spellingShingle Regular graph
Strongly regular graph
diameter of graph
Đỗ, Như An
Nguyễn, Đình Ái
4-Regular graph of diameter 2
description 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 .
format Working Paper
author Đỗ, Như An
Nguyễn, Đình Ái
author_facet Đỗ, Như An
Nguyễn, Đình Ái
author_sort Đỗ, Như An
title 4-Regular graph of diameter 2
title_short 4-Regular graph of diameter 2
title_full 4-Regular graph of diameter 2
title_fullStr 4-Regular graph of diameter 2
title_full_unstemmed 4-Regular graph of diameter 2
title_sort 4-regular graph of diameter 2
publisher Trường Đại học Đà Lạt
publishDate 2012
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/33628
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