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Note on the Chromatic Number of Minkowski Planes: The Regular Polygon Case 闵可夫斯基平面的色数注:正多边形的情况
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2023-01-31 DOI: 10.1556/012.2023.01536
Panna Geh'er
{"title":"Note on the Chromatic Number of Minkowski Planes: The Regular Polygon Case","authors":"Panna Geh'er","doi":"10.1556/012.2023.01536","DOIUrl":"https://doi.org/10.1556/012.2023.01536","url":null,"abstract":"The famous Hadwiger–Nelson problem asks for the minimum number of colors needed to color the points of the Euclidean plane so that no two points unit distance apart are assigned the same color. In this note we consider a variant of the problem in Minkowski metric planes, where the unit circle is a regular polygon of even and at most 22 vertices. We present a simple lattice–sublattice coloring scheme that uses 6 colors, proving that the chromatic number of the Minkowski planes above are at most 6. This result is new for regular polygons having more than 8 vertices.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76460923","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: 2
Positive Solutions for a Singular System of Nonlinear Fractional Differential Equations 一类非线性分数阶微分方程奇异系统的正解
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-12-14 DOI: 10.1556/012.2022.01533
Ping Kang
{"title":"Positive Solutions for a Singular System of Nonlinear Fractional Differential Equations","authors":"Ping Kang","doi":"10.1556/012.2022.01533","DOIUrl":"https://doi.org/10.1556/012.2022.01533","url":null,"abstract":"In this paper, we study the existence of positive solutions for a system of nonlinear fractional differential equations. The results are based upon the fixed-point theorem of cone expansion and compression type due to Krasnosel’skill. Moreover, Our results generalize and include some known results.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81718735","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: 2
Lifting Diffeomorphisms to Vector Bundles 提升矢量束的微分同态
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-11-10 DOI: 10.1556/012.2022.01531
J. M. Masqué, María Eugenia Rosado María, I. S. Rodríguez
{"title":"Lifting Diffeomorphisms to Vector Bundles","authors":"J. M. Masqué, María Eugenia Rosado María, I. S. Rodríguez","doi":"10.1556/012.2022.01531","DOIUrl":"https://doi.org/10.1556/012.2022.01531","url":null,"abstract":"Criteria for a diffeomorphism of a smooth manifold M to be lifted to a linear automorphism of a given real vector bundle p : V → M, are stated. Examples are included and the metric and complex vector-bundle cases are also considered.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86740399","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
A Remark on Nefness of Divisors on Surfaces of General Type 关于一般型曲面上除数的内洁性的一个注解
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-11-10 DOI: 10.1556/012.2022.01532
Debojyoti Bhattacharya, Joyentanuj Das
{"title":"A Remark on Nefness of Divisors on Surfaces of General Type","authors":"Debojyoti Bhattacharya, Joyentanuj Das","doi":"10.1556/012.2022.01532","DOIUrl":"https://doi.org/10.1556/012.2022.01532","url":null,"abstract":"Let X be an irreducible complex projective variety of dimension n ≥ 1. Let D be a Cartier divisor on X such that Hi(X, OX (mD)) = 0 for m > 0 and for all i > 0, then it is not true in general that D is a nef divisor (cf. [4]). Also, in general, effective divisors on smooth surfaces are not necessarily nef (they are nef provided they are semiample). In this article, we show that, if X is a smooth surface of general type and C is a smooth hyperplane section of it, then for any non-zero effective divisor D on X satisfying H1(X, OX (mD)) = 0 for all m > C.KX, D is a nef divisor.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77047440","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
Convex Polygons and Separation of Convex 凸多边形与凸分离
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-09-24 DOI: 10.1556/012.2022.01530
Eduardo Rivera-Campo, J. Urrutia
{"title":"Convex Polygons and Separation of Convex","authors":"Eduardo Rivera-Campo, J. Urrutia","doi":"10.1556/012.2022.01530","DOIUrl":"https://doi.org/10.1556/012.2022.01530","url":null,"abstract":"We prove that for any collection F of n ≥ 2 pairwise disjoint compact convex sets in the plane there is a pair of sets A and B in F such that any line that separates A from B separates either A or B from a subcollection of F with at least n/18 sets.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84147990","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 Gudermannian Generated Family of Distributions with Characterizations, Regression Models and Applications Gudermannian生成的分布族及其表征、回归模型和应用
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-06-20 DOI: 10.1556/012.2022.01526
E. Altun, M. Alizadeh, H. Yousof, G. Hamedani
{"title":"The Gudermannian Generated Family of Distributions with Characterizations, Regression Models and Applications","authors":"E. Altun, M. Alizadeh, H. Yousof, G. Hamedani","doi":"10.1556/012.2022.01526","DOIUrl":"https://doi.org/10.1556/012.2022.01526","url":null,"abstract":"This study proposes a new family of continuous distributions, called the Gudermannian generated family of distributions, based on the Gudermannian function. The statistical properties, including moments, incomplete moments and generating functions, are studied in detail. Simulation studies are performed to discuss and evaluate the maximum likelihood estimations of the model parameters. The regression model of the proposed family considering the heteroscedastic structure of the scale parameter is defined. Three applications on real data sets are implemented to convince the readers in favour of the proposed models.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91240892","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: 7
Lefschetz Open Book Embeddings of 4-Manifolds 4流形的Lefschetz开卷嵌入
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-06-06 DOI: 10.1556/012.2022.01520
Abhijeet Ghanwat, Suhas Pandit, A. Selvakumar
{"title":"Lefschetz Open Book Embeddings of 4-Manifolds","authors":"Abhijeet Ghanwat, Suhas Pandit, A. Selvakumar","doi":"10.1556/012.2022.01520","DOIUrl":"https://doi.org/10.1556/012.2022.01520","url":null,"abstract":"In this article, we define the notion of a generalized open book of a n-manifold over the k−sphere Sk\u0000 , k < n. We discuss Lefschetz open book embeddings of Lefschetz open books of closed oriented 4-manifolds into the trivial open book over S2\u0000 of the 7−sphere S7\u0000 . If X is the double of a bounded achiral Lefschetz fibration over D2\u0000 , then X naturally admits a Lefschetz open book given by the bounded achiral Lefschetz fibration. We show that this natural Lefschetz open book of X admits a Lefschetz open book embedding into the trivial open book over S2\u0000 of the 7−sphere S7\u0000 .","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72443332","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
Some Stability and Exact Results in Generalized Turán Problems 广义Turán问题的一些稳定性和精确结果
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-04-10 DOI: 10.1556/012.2023.01533
Dániel Gerbner
{"title":"Some Stability and Exact Results in Generalized Turán Problems","authors":"Dániel Gerbner","doi":"10.1556/012.2023.01533","DOIUrl":"https://doi.org/10.1556/012.2023.01533","url":null,"abstract":"Given graphs H and F, the generalized Turán number ex(n, H, F) is the largest number of copies of H in n-vertex F-free graphs. Stability refers to the usual phenomenon that if an n-vertex F-free graph G contains almost ex(n, H, F) copies of H, then G is in some sense similar to some extremal graph. We obtain new stability results for generalized Turán problems and derive several new exact results.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75793610","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: 9
Degree Conditions for Claw-Free Graphs to Have Spanning Trees with at Most Five Branch Vertices and Leaves in Total 无爪图最多有5个分支顶点和叶的生成树的度条件
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-04-01 DOI: 10.1556/012.2022.01521
D. D. Hanh
{"title":"Degree Conditions for Claw-Free Graphs to Have Spanning Trees with at Most Five Branch Vertices and Leaves in Total","authors":"D. D. Hanh","doi":"10.1556/012.2022.01521","DOIUrl":"https://doi.org/10.1556/012.2022.01521","url":null,"abstract":"A leaf of a tree is a vertex of degree one and a branch vertex of a tree is a vertex of degree at least three. In this paper, we show a degree condition for a claw-free graph to have spanning trees with at most five branch vertices and leaves in total. Moreover, the degree sum condition is best possible.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90924332","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
Realization of a Graph as the Reeb Graph of a Morse–Bott or a Round Function 图作为莫尔斯-伯特函数或圆函数的Reeb图的实现
IF 0.7 4区 数学
Studia Scientiarum Mathematicarum Hungarica Pub Date : 2022-04-01 DOI: 10.1556/012.2022.01512
Irina Gelbukh
{"title":"Realization of a Graph as the Reeb Graph of a Morse–Bott or a Round Function","authors":"Irina Gelbukh","doi":"10.1556/012.2022.01512","DOIUrl":"https://doi.org/10.1556/012.2022.01512","url":null,"abstract":"We prove criteria for a graph to be the Reeb graph of a function of a given class on a closed manifold: Morse–Bott, round, and in general smooth functions whose critical set consists of a finite number of submanifolds. The criteria are given in terms of whether the graph admits an orientation, which we call S-good orientation, with certain conditions on the degree of sources and sinks, similar to the known notion of good orientation in the context of Morse functions. We also study when such a function is the height function associated with an immersion of the manifold. The condition for a graph to admit an S-good orientation can be expressed in terms of the leaf blocks of the graph.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78985234","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: 2
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