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Contributions To Discrete Mathematics最新文献

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The m-Bipartite Ramsey Number of the K{2,2} Versus K{6,6} K{2,2}相对于K{6,6}的m-二分拉姆齐数
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2022-02-26 DOI: 10.47443/cm.2022.011
Yaser Rowshan
{"title":"The m-Bipartite Ramsey Number of the K{2,2} Versus K{6,6}","authors":"Yaser Rowshan","doi":"10.47443/cm.2022.011","DOIUrl":"https://doi.org/10.47443/cm.2022.011","url":null,"abstract":"For the given bipartite graphs G 1 , . . . , G n , the bipartite Ramsey number BR ( G 1 , . . . , G n ) is the least positive integer b such that any complete bipartite graph K b,b having edges coloured with 1 , 2 , . . . , n , contains a copy of some G i ( 1 ≤ i ≤ n ), where all the edges of G i have colour i . For the given bipartite graphs G 1 , . . . , G n and a positive integer m , the m -bipartite Ramsey number BR m ( G 1 , . . . , G n ) is defined as the least positive integer b ( b ≥ m ) such that any complete bipartite graph K m,b having edges coloured with 1 , 2 , . . . , n , contains a copy of some G i ( 1 ≤ i ≤ n ), where all the edges of G i have colour i . The values of BR m ( G 1 , G 2 ) (for each m ), BR m ( K 3 , 3 , K 3 , 3 ) and BR m ( K 2 , 2 , K 5 , 5 ) (for particular values of m ) have already been determined in several articles, where G 1 = K 2 , 2 and G 2 ∈ { K 3 , 3 , K 4 , 4 } . In this article, the value of BR m ( K 2 , 2 , K 6 , 6 ) is computed for each m ∈ { 2 , 3 , . . . , 8 } .","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76539049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relating Energy and Sombor Energy 相关能源和Sombor能源
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-12-18 DOI: 10.47443/cm.2021.0054
{"title":"Relating Energy and Sombor Energy","authors":"","doi":"10.47443/cm.2021.0054","DOIUrl":"https://doi.org/10.47443/cm.2021.0054","url":null,"abstract":"","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73128553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Weakly Irreducible Filter in Strong Quasi-Ordered Residuated Systems 强拟序剩余系统中的弱不可约滤波器
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-12-15 DOI: 10.47443/cm.2021.0032
D. Romano
{"title":"Weakly Irreducible Filter in Strong Quasi-Ordered Residuated Systems","authors":"D. Romano","doi":"10.47443/cm.2021.0032","DOIUrl":"https://doi.org/10.47443/cm.2021.0032","url":null,"abstract":"In this article, the notion of weakly irreducible filters in strong quasi-ordered residuated systems is introduced and analyzed. It is shown that any weakly irreducible filter is a prime (and therefore, irreducible) filter. It is also proved that if the lattice F(A) of all filters in a strong quasi-ordered residuated system A is distributive, then any irreducible filter in A is weakly irreducible in A.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76178784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Harary-Albertson index of graphs 图的Harary-Albertson索引
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-12-05 DOI: 10.47443/cm.2021.0051
Zhen Lin
{"title":"Harary-Albertson index of graphs","authors":"Zhen Lin","doi":"10.47443/cm.2021.0051","DOIUrl":"https://doi.org/10.47443/cm.2021.0051","url":null,"abstract":"where d(u) and d(u, v) are the degree of the vertex u and the distance between the vertices u and v in G, respectively. This new index is useful in predicting physico-chemical properties with high accuracy compared to some classic topological indices. Mathematical relations between the Harary-Albertson index and other classic topological indices are established. The extremal values of the Harary-Albertson index for trees of given order are also determined.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80276925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Clique Number and Some Hamiltonian Properties of Graphs 图的团数和一些哈密顿性质
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-08-21 DOI: 10.47443/cm.2021.0038
Rao Li
{"title":"The Clique Number and Some Hamiltonian Properties of Graphs","authors":"Rao Li","doi":"10.47443/cm.2021.0038","DOIUrl":"https://doi.org/10.47443/cm.2021.0038","url":null,"abstract":"Abstract A graph is said to be Hamiltonian (respectively, traceable) if it has a Hamiltonian cycle (respectively, Hamiltonian path), where a Hamiltonian cycle (respectively, Hamiltonian path) is a cycle (respectively, path) containing all the vertices of the graph. In this short note, sufficient conditions involving the clique number for the Hamiltonian and traceable graphs are presented.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77976419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fuzzy implications based on strong negations 基于强烈否定的模糊含义
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-08-13 DOI: 10.47443/cm.2021.0040
Anestis G. Hatzimichailidis, G. Souliotis, B. Papadopoulos
{"title":"Fuzzy implications based on strong negations","authors":"Anestis G. Hatzimichailidis, G. Souliotis, B. Papadopoulos","doi":"10.47443/cm.2021.0040","DOIUrl":"https://doi.org/10.47443/cm.2021.0040","url":null,"abstract":"In this paper we introduce fuzzy implications stemming from a class of strong negations, which are generated via conical sections. The strong negations form a structural element in the production of fuzzy implications","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80346753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An alternative proof of a harmonic mean inequality for Nielsen’s beta function Nielsen函数的调和均值不等式的另一种证明
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-08-09 DOI: 10.47443/cm.2021.0028
K. Nantomah
{"title":"An alternative proof of a harmonic mean inequality for Nielsen’s beta function","authors":"K. Nantomah","doi":"10.47443/cm.2021.0028","DOIUrl":"https://doi.org/10.47443/cm.2021.0028","url":null,"abstract":"Abstract In this short note, an alternative proof of a harmonic mean inequality involving Nielsen’s beta function is provided. This inequality was first posed as a conjecture by Nantomah [Bull. Int. Math. Virtual Inst. 9 (2019) 263–269] and subsequently proved by Matejı́čka [Probl. Anal. Issues Anal. 8(26) (2019) 105–111]. The present proof is more compact and relatively simple.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77351521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Corrigendum to “Combinations of some spectral invariants and Hamiltonian properties ofgraphs, Contrib. Math. 1 (2020) 54–56” 图的一些谱不变量和哈密顿性质的组合的勘误，贡献。数学1 (2020)54-56 "
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-07-07 DOI: 10.47443/cm.2021.n2
Rao Li
{"title":"Corrigendum to “Combinations of some spectral invariants and Hamiltonian properties of\u0000graphs, Contrib. Math. 1 (2020) 54–56”","authors":"Rao Li","doi":"10.47443/cm.2021.n2","DOIUrl":"https://doi.org/10.47443/cm.2021.n2","url":null,"abstract":"There are misprints in the paper [1]. On the fourth line in the section of Introduction on Page 54, the “Define G1(n, k) := Kk ∨K k+1 where k ≥ 2 and G2(n, k) := Kk ∨K k+2 where k ≥ 1” should be “Define G1(n, k) := Kn−k−1 ∨K k+1 where k ≥ 2 and G2(n, k) := Kn−k−2 ∨K k+2 where k ≥ 1”. Because of the above changes, the following changes should be made, accordingly. • At the end of Proof of Theorem 1.1 on Page 55, “G is G1(n, k)” should be changed into “G is Kk ∨K k+1”. • At the end of Proof of Theorem 1.2 on Page 56, “G is G2(n, k)” should be changed into “G is Kk ∨K k+2”.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80768009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Basic tools and continuity-like properties in relator spaces 相关空间中的基本工具和类连续属性
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-06-11 DOI: 10.47443/cm.2021.0016
M. Rassias, Á. Száz
{"title":"Basic tools and continuity-like properties in relator spaces","authors":"M. Rassias, Á. Száz","doi":"10.47443/cm.2021.0016","DOIUrl":"https://doi.org/10.47443/cm.2021.0016","url":null,"abstract":"This paper provides the unification of several continuity-like properties of functions and relations in the framework of relator spaces. Motivated by Galois connections, we consider an ordered pair of relations instead of a single relation. A family R of relations on a set X to another set Y is called a relator on X to Y . All reasonable generalizations of the usual topological structures (such as proximities, closures, topologies, filters and convergences, for instance) can be derived from relators. Therefore, they should not be studied separately. From the various topological and algebraic structures (such as lower bounds, minimum and infimum, for instance) derived from relators, by using Pataki connections, we can obtain several closure and projection operations for relators. Each of them will lead to four continuity-like properties of an ordered pair of relators.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88166538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Corrigendum to “Theory of hyper-singular integrals and its application to the Navier-Stokes problem, Contrib. Math. 2 (2020) 47–54” “超奇异积分理论及其在Navier-Stokes问题中的应用”的更正，贡献。数学2 (2020)47-54 "
IF 0.5 4区 数学
Contributions To Discrete Mathematics Pub Date : 2021-02-20 DOI: 10.47443/cm.2021.n1
A. Ramm
{"title":"Corrigendum to “Theory of hyper-singular integrals and its application to the Navier-Stokes problem, Contrib. Math. 2 (2020) 47–54”","authors":"A. Ramm","doi":"10.47443/cm.2021.n1","DOIUrl":"https://doi.org/10.47443/cm.2021.n1","url":null,"abstract":"","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76814220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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