{"title":"A note on some classes of series for the logarithmic function","authors":"Necdet Batır","doi":"10.47443/cm.2024.035","DOIUrl":"https://doi.org/10.47443/cm.2024.035","url":null,"abstract":"A different and technical proof for a series representation of log s is provided. The mentioned series representation was used to reproduce some Bailey-Borwein-Plouffe (BBP) type formulas for a variety of numbers, including some classical BBP type formulas for π . A series representation, similar to that of log s , for log 2 ( s ) is also derived","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"76 5‐6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Monochromatic subgraphs in graphs","authors":"G. Chartrand, Emma Jent, Ping Zhang","doi":"10.47443/cm.2024.036","DOIUrl":"https://doi.org/10.47443/cm.2024.036","url":null,"abstract":"For a positive integer t and a graph F , the numbers ER t ( F ) and V R t ( F ) of F are the minimum positive integer n such that every red-blue coloring of the edges of the complete graph K n results in t pairwise edge-disjoint and vertex-disjoint, respectively, monochromatic copies of F in K n . The number ER t ( F ) is determined when F = K 3 for t ≤ 4 and when F is the path P 3 of order 3 for every positive integer t , while V R t ( F ) is determined when F ∈ { K 3 , P 3 } for every positive integer t .","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"183 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hyper-Leonardo p-numbers and associated norms","authors":"Nassima Belaggoun, H. Belbachir","doi":"10.47443/cm.2023.071","DOIUrl":"https://doi.org/10.47443/cm.2023.071","url":null,"abstract":"","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"32 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140980412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the modified misbalance rodeg index","authors":"Igor Milovanović, Akbar Ali, Zahid Raza","doi":"10.47443/cm.2024.005","DOIUrl":"https://doi.org/10.47443/cm.2024.005","url":null,"abstract":"","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140747027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some properties of eccentrical graphs","authors":"Zikai Tang","doi":"10.47443/cm.2024.006","DOIUrl":"https://doi.org/10.47443/cm.2024.006","url":null,"abstract":"In this paper, the concept of the eccentrical graph of a graph is introduced. Let G be a connected graph with the vertex set V ( G ) . The eccentrical graph of G is the graph (cid:15) ( G ) with the vertex set V ( (cid:15) ( G )) = V ( G ) and two vertices v i , v j ∈ V ( (cid:15) ( G )) are adjacent in (cid:15) ( G ) if and only if the distance between them is min { e ( v i ) , e ( v j ) } , where e ( v i ) is the eccentricity of v i . A sufficient condition for the eccentrical graph of a connected graph to be connected is given. It is proved that the eccentrical graph of every tree is connected and its diameter does not exceed 3 . The extremum values of the greatest eigenvalue of eccentrical graphs of trees and connected graphs of fixed order are also studied. Furthermore, spectra of eccentrical graphs of various classes of graphs are computed.","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"1 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140419392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dispersed Dyck paths revisited","authors":"Helmut Prodinger","doi":"10.47443/cm.2024.010","DOIUrl":"https://doi.org/10.47443/cm.2024.010","url":null,"abstract":"Dispersed Dyck paths are Dyck paths, with possible flat steps on level 0. We revisit and augment questions about them from the Encyclopedia of Integer Sequences, in a systematic way that uses generating functions and the kernel method.","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":"790 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140446382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A note on generating identities for multiplicative arithmetic functions","authors":"Karol Gryszka","doi":"10.47443/cm.2023.063","DOIUrl":"https://doi.org/10.47443/cm.2023.063","url":null,"abstract":"In this article, it is shown that many of the identities involving multiplicative arithmetic functions are special cases of a more general formula. The approach employed in this article avoids using classical techniques, including Dirichlet’s convolution","PeriodicalId":515935,"journal":{"name":"Contributions to Mathematics","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139392692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
求助内容：
应助结果提醒方式：