{"title":"最大次不超过3的图的匹配能量","authors":"S. K. Ghezelahmad","doi":"10.46793/match.89-3.687g","DOIUrl":null,"url":null,"abstract":"The matching energy of a graph G, denoted by ME(G), is def ined as the sum of absolute values of the zeros of the matching polynomial of G. In this paper, we prove that if G is a connected graph of order n with maximum degree at most 3, then ME(G) > n with only six exceptions. In particular, we show that there are only two connected graphs with maximum degree at most three, whose matching energies are equal to the number of vertices.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"251 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Matching Energy of Graphs with Maximum Degree at Most 3\",\"authors\":\"S. K. Ghezelahmad\",\"doi\":\"10.46793/match.89-3.687g\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The matching energy of a graph G, denoted by ME(G), is def ined as the sum of absolute values of the zeros of the matching polynomial of G. In this paper, we prove that if G is a connected graph of order n with maximum degree at most 3, then ME(G) > n with only six exceptions. In particular, we show that there are only two connected graphs with maximum degree at most three, whose matching energies are equal to the number of vertices.\",\"PeriodicalId\":51115,\"journal\":{\"name\":\"Match-Communications in Mathematical and in Computer Chemistry\",\"volume\":\"251 1\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Match-Communications in Mathematical and in Computer Chemistry\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://doi.org/10.46793/match.89-3.687g\",\"RegionNum\":2,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Match-Communications in Mathematical and in Computer Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.46793/match.89-3.687g","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Matching Energy of Graphs with Maximum Degree at Most 3
The matching energy of a graph G, denoted by ME(G), is def ined as the sum of absolute values of the zeros of the matching polynomial of G. In this paper, we prove that if G is a connected graph of order n with maximum degree at most 3, then ME(G) > n with only six exceptions. In particular, we show that there are only two connected graphs with maximum degree at most three, whose matching energies are equal to the number of vertices.
期刊介绍：
MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.
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