{"title":"Counting formulas and bijections of nondecreasing 2-noncrossing trees","authors":"Yvonne Wakuthii Kariuki, I. Okoth, F. Nyamwala","doi":"10.47443/ejm.2024.029","DOIUrl":"https://doi.org/10.47443/ejm.2024.029","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"30 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141685495","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}
Ritabrato Chatterjee, Emma Jent, Sawyer Osborn, Ping Zhang
{"title":"Proper total domination in graphs","authors":"Ritabrato Chatterjee, Emma Jent, Sawyer Osborn, Ping Zhang","doi":"10.47443/ejm.2024.024","DOIUrl":"https://doi.org/10.47443/ejm.2024.024","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"68 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141123386","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}
Audace A. V. Dossou-Olory, Muhammed F. Killik, Elena V. Konstantinova, Bünyamin Șahin
{"title":"On level energy and level characteristic polynomial of rooted trees","authors":"Audace A. V. Dossou-Olory, Muhammed F. Killik, Elena V. Konstantinova, Bünyamin Șahin","doi":"10.47443/ejm.2024.020","DOIUrl":"https://doi.org/10.47443/ejm.2024.020","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"50 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141030439","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":"Berezin radius type inequalities for functional Hilbert space operators","authors":"Vuk Stojiljković, M. Gürdal","doi":"10.47443/ejm.2024.017","DOIUrl":"https://doi.org/10.47443/ejm.2024.017","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141025613","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":"Elliptic Sombor index of trees and unicyclic graphs","authors":"Zikai Tang, Yunping Li, Hanyuan Deng","doi":"10.47443/ejm.2024.009","DOIUrl":"https://doi.org/10.47443/ejm.2024.009","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"23 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140232823","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 a conjecture of Chellali and Favaron regarding connected domination numbers","authors":"Phillip Mafuta","doi":"10.47443/ejm.2023.040","DOIUrl":"https://doi.org/10.47443/ejm.2023.040","url":null,"abstract":"","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"19 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253623","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}
Let V be a braided monoidal category. Given a braided monoidal endofunctor F on V , it is proved that F -coalgebras form a braided monoidal category, denoted as V F . Particularly, if the category V admits coproducts and if F is a fully faithful symmetric monoidal endofunctor, then it is proved that V F is symmetric monoidal closed whenever V is symmetric monoidal closed.
设 V 是一个辫状单元范畴。给定 V 上的一个辫状单复数内矢量 F，证明 F - 元组构成一个辫状单复数范畴，记为 V F。特别是，如果范畴 V 允许协积，并且 F 是一个完全忠实的对称单环内矢量，那么只要 V 是对称单环封闭的，就可以证明 V F 是对称单环封闭的。
{"title":"Braided monoidal categories of coalgebras","authors":"Jean-Paul Mavoungou","doi":"10.47443/ejm.2023.046","DOIUrl":"https://doi.org/10.47443/ejm.2023.046","url":null,"abstract":"Let V be a braided monoidal category. Given a braided monoidal endofunctor F on V , it is proved that F -coalgebras form a braided monoidal category, denoted as V F . Particularly, if the category V admits coproducts and if F is a fully faithful symmetric monoidal endofunctor, then it is proved that V F is symmetric monoidal closed whenever V is symmetric monoidal closed.","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"388 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139177838","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}
Ahmed Ayache, Ivan Gutman, A. Alameri, Abdullatif Ghallab
The first and second general Zagreb indices, M α 1 and M α 2 , are the sum of the terms δ ( u ) α + δ ( v ) α and δ ( u ) α · δ ( v ) α , respectively, over all pairs of adjacent vertices u, v of a graph, where δ ( x ) is the degree of the vertex x , and α is a real number. For α = 1 , M α 1 and M α 2 are equal to the ordinary first and second Zagreb indices. For some other values of α , M α 1 and M α 2 reduce to a variety of other, earlier considered, topological indices. In this paper, we establish expressions for M α 1 and M α 2 for several types of composite graphs, and give examples pointing at possible applications of these expressions.
第一个和第二个一般萨格勒布指数，即 M α 1 和 M α 2，分别是图中所有相邻顶点 u、v 对的项δ ( u ) α + δ ( v ) α 和 δ ( u ) α - δ ( v ) α 的和，其中δ ( x ) 是顶点 x 的度数，α 是实数。当 α = 1 时，M α 1 和 M α 2 等于普通的第一和第二萨格勒布指数。对于其他一些 α 值，M α 1 和 M α 2 则简化为其他各种拓扑指数，这些拓扑指数早先已被考虑过。在本文中，我们为几种类型的复合图建立了 M α 1 和 M α 2 的表达式，并举例说明了这些表达式的可能应用。
{"title":"General Zagreb indices of composite graphs","authors":"Ahmed Ayache, Ivan Gutman, A. Alameri, Abdullatif Ghallab","doi":"10.47443/ejm.2023.048","DOIUrl":"https://doi.org/10.47443/ejm.2023.048","url":null,"abstract":"The first and second general Zagreb indices, M α 1 and M α 2 , are the sum of the terms δ ( u ) α + δ ( v ) α and δ ( u ) α · δ ( v ) α , respectively, over all pairs of adjacent vertices u, v of a graph, where δ ( x ) is the degree of the vertex x , and α is a real number. For α = 1 , M α 1 and M α 2 are equal to the ordinary first and second Zagreb indices. For some other values of α , M α 1 and M α 2 reduce to a variety of other, earlier considered, topological indices. In this paper, we establish expressions for M α 1 and M α 2 for several types of composite graphs, and give examples pointing at possible applications of these expressions.","PeriodicalId":503196,"journal":{"name":"Electronic Journal of Mathematics","volume":"47 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139178793","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}
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