Aequationes Mathematicae最新文献_第5页

A note on homotopy extension KKM type maps 关于同调扩展 KKM 类型映射的说明

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-18 DOI: 10.1007/s00010-024-01081-1

Donal O’Regan

引用次数: 0

The Rhodes semilattice of a biased graph 偏置图的罗得半网格

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-15 DOI: 10.1007/s00010-024-01039-3

Michael J. Gottstein, Thomas Zaslavsky

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Shannon’s entropy and its bounds for some a priori known equiprobable states 香农熵及其对某些先验已知等价状态的约束

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-15 DOI: 10.1007/s00010-024-01068-y

Eleutherius Symeonidis, Flavia-Corina Mitroi-Symeonidis

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On an alternative additive-quadratic functional equation 关于另一种加二次函数方程

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-13 DOI: 10.1007/s00010-024-01074-0

Gian Luigi Forti, Bettina Wilkens

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Behavior of convex integrand at a d-apex of its Wulff shape and approximation of spherical bodies of constant width 凸积分在其 Wulff 形的 d-apex 处的行为和恒定宽度球体的近似值

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-11 DOI: 10.1007/s00010-024-01079-9

Huhe Han

{"title":"Behavior of convex integrand at a d-apex of its Wulff shape and approximation of spherical bodies of constant width","authors":"Huhe Han","doi":"10.1007/s00010-024-01079-9","DOIUrl":"https://doi.org/10.1007/s00010-024-01079-9","url":null,"abstract":"Let (gamma : S^nrightarrow mathbb {R}_+) be a convex integrand and (mathcal {W}_gamma ) be the Wulff shape of (gamma ). A d-apex point naturally arises in a non-smooth Wulff shape, in particular, as a vertex of a convex polytope. In this paper, we study the behavior of the convex integrand at a d-apex point of its Wulff shape. We prove that (gamma (P)) is locally maximum, and (mathbb {R}_+ Pcap partial mathcal {W}_gamma ) is a d-apex point of (mathcal {W}_gamma ) if and only if the graph of (gamma ) around the d-apex point is a piece of a sphere with center (frac{1}{2}gamma (P)P) and radius (frac{1}{2}gamma (P)). As an application of the proof of this result, we prove that for any spherical convex body C of constant width (tau >pi /2), there exists a sequence ({C_i}_{i=1}^infty ) of convex bodies of constant width (tau ), whose boundaries consist only of arcs of circles of radius (tau -frac{pi }{2}) and great circle arcs such that (lim _{irightarrow infty }C_i=C) with respect to the Hausdorff distance.","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140925542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 note on ideal C $$^*$$ -completions and amenability 关于理想 C $$^*$$ -补全和可亲和性的说明

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-10 DOI: 10.1007/s00010-024-01077-x

Tomasz Kochanek

引用次数: 0

On double Roman domination problem for several graph classes 关于几类图的双罗马支配问题

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-08 DOI: 10.1007/s00010-024-01071-3

Tatjana Zec, Dragan Matić, Marko Djukanović

引用次数: 0

Probabilistic Stirling numbers and applications 概率斯特林数及其应用

IF 0.8 3区数学

Aequationes Mathematicae Pub Date : 2024-05-08 DOI: 10.1007/s00010-024-01073-1

José A. Adell, Beáta Bényi

引用次数: 0

Gromov hyperbolicity of Johnson and Kneser graphs 约翰逊和克奈瑟图的格罗莫夫双曲性

IF 0.9 3区数学

Aequationes Mathematicae Pub Date : 2024-05-08 DOI: 10.1007/s00010-024-01076-y

Jesús Méndez, Rosalio Reyes, José M. Rodríguez, José M. Sigarreta

引用次数: 0

Distance signless Laplacian spectral radius for the existence of path-factors in graphs 图中路径因子存在的无符号拉普拉斯谱半径距离

IF 0.9 3区数学

Aequationes Mathematicae Pub Date : 2024-05-06 DOI: 10.1007/s00010-024-01075-z

Sizhong Zhou, Zhiren Sun, Hongxia Liu

{"title":"Distance signless Laplacian spectral radius for the existence of path-factors in graphs","authors":"Sizhong Zhou, Zhiren Sun, Hongxia Liu","doi":"10.1007/s00010-024-01075-z","DOIUrl":"10.1007/s00010-024-01075-z","url":null,"abstract":"<div>Let G be a connected graph of order n, where n is a positive integer. A spanning subgraph F of G is called a path-factor if every component of F is a path of order at least 2. A (P_{ge k})-factor means a path-factor in which every component admits order at least k ((kge 2)). The distance matrix ({mathcal {D}}(G)) of G is an (ntimes n) real symmetric matrix whose (i, j)-entry is the distance between the vertices (v_i) and (v_j). The distance signless Laplacian matrix ({mathcal {Q}}(G)) of G is defined by ({mathcal {Q}}(G)=Tr(G)+{mathcal {D}}(G)), where Tr(G) is the diagonal matrix of the vertex transmissions in G. The largest eigenvalue (eta _1(G)) of ({mathcal {Q}}(G)) is called the distance signless Laplacian spectral radius of G. In this paper, we aim to present a distance signless Laplacian spectral radius condition to guarantee the existence of a (P_{ge 2})-factor in a graph and claim that the following statements are true: (i) G admits a (P_{ge 2})-factor for (nge 4) and (nne 7) if (eta _1(G)<theta (n)), where (theta (n)) is the largest root of the equation (x^{3}-(5n-3)x^{2}+(8n^{2}-23n+48)x-4n^{3}+22n^{2}-74n+80=0); (ii) G admits a (P_{ge 2})-factor for (n=7) if (eta _1(G)<frac{25+sqrt{161}}{2}).</div>","PeriodicalId":55611,"journal":{"name":"Aequationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140889513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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