Extremal graphs without three-cycles or four-cycles
We derive bounds for f(v), the maximum number of edges in a graph on v vertices that contains neither three‐cycles nor four‐cycles. Also, we give the exact value of f(v) for all v up to 24 and constructive lower bounds for all v up to 200. © 1993 John Wiley & Sons, Inc.
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Veröffentlicht in: | Journal of graph theory 1993-11, Vol.17 (5), p.633-645 |
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container_title | Journal of graph theory |
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creator | Garnick, David K. Kwong, Y. H. Harris Lazebnik, Felix |
description | We derive bounds for f(v), the maximum number of edges in a graph on v vertices that contains neither three‐cycles nor four‐cycles. Also, we give the exact value of f(v) for all v up to 24 and constructive lower bounds for all v up to 200. © 1993 John Wiley & Sons, Inc. |
doi_str_mv | 10.1002/jgt.3190170511 |
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H. Harris</creatorcontrib><creatorcontrib>Lazebnik, Felix</creatorcontrib><title>Extremal graphs without three-cycles or four-cycles</title><title>Journal of graph theory</title><addtitle>J. Graph Theory</addtitle><description>We derive bounds for f(v), the maximum number of edges in a graph on v vertices that contains neither three‐cycles nor four‐cycles. Also, we give the exact value of f(v) for all v up to 24 and constructive lower bounds for all v up to 200. © 1993 John Wiley & Sons, Inc.</description><subject>Combinatorics</subject><subject>Combinatorics. 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Ordered structures</topic><topic>Exact sciences and technology</topic><topic>Graph theory</topic><topic>Mathematics</topic><topic>Sciences and techniques of general use</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Garnick, David K.</creatorcontrib><creatorcontrib>Kwong, Y. H. Harris</creatorcontrib><creatorcontrib>Lazebnik, Felix</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Journal of graph theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Garnick, David K.</au><au>Kwong, Y. H. Harris</au><au>Lazebnik, Felix</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extremal graphs without three-cycles or four-cycles</atitle><jtitle>Journal of graph theory</jtitle><addtitle>J. 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subjects | Combinatorics Combinatorics. Ordered structures Exact sciences and technology Graph theory Mathematics Sciences and techniques of general use |
title | Extremal graphs without three-cycles or four-cycles |
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