An odd characterization of the generalized odd graphs

Edwin R. van Dam; Willem H. Haemers

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An odd characterization of the generalized odd graphs

机译：广义奇数图的奇数刻画

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摘要

We show that any connected regular graph with d + 1 distinct eigenvalues and odd-girth 2d + 1 is distance-regular, and in particular that it is a generalized odd graph.

机译：我们表明，任何具有d +1个不同特征值和奇数周长2d +1的连通正则图都是距离规则的，特别是它是广义奇数图。

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来源
《Journal of Combinatorial Theory, Series B》 |2011年第6期|共4页
作者
Edwin R. van Dam; Willem H. Haemers;
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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Distance-regular graphs; Generalized odd graphs; Odd-girth; Spectra of graphs; Spectral excess theorem; Spectral characterization;

机译：距离正则图;广义奇数图;奇数周长;图谱;谱超定理;谱表征;

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1. An odd characterization of the generalized odd graphs [J] . Edwin R. van Dam, Willem H. Haemers Journal of Combinatorial Theory, Series B . 2011,第6期

机译：广义奇数图的奇数刻画
2. A characterization of the Odd graphs and the doubled Odd graphs with a few of their intersection numbers [J] . Akira Hiraki European journal of combinatorics . 2007,第1期

机译：奇数图和双奇数图及其少数交点的特征
3. The generalized odd Burr III family of distributions: properties, applications and characterizations [J] . Muhammad Ahsan ul Haq, M. Elgarhy, Sharqa Hashmi Journal of Taibah University for Science . 2019,第1期

机译：广义奇数Burr III分布族：性质，应用和特征
4. On odd-elegant properties of generalized sun-graphs [C] . Sihua Yang, Bing Yao, Wanjia Zhang, 2014 IEEE 7th Joint International Information Technology and Artificial Intelligence Conference . 2014

机译：广义太阳图的奇雅性质
5. Trajectories of DSM-IV symptoms of ADHD, ODD and ADHD+ODD in middle childhood: Examining the co-variation of ADHD and ODD symptoms and their differential predictors and outcomes. [D] . von Stauffenberg, Camilla. 2011

机译：中年儿童ADHD，ODD和ADHD + ODD的DSM-IV症状的轨迹：检查ADHD和ODD症状的共变及其差异预测因素和结果。
6. Conditional Independence Test by Generalized Kendall’s tau with Generalized Odds Ratio [O] . Shuang Ji, Jing Ning, Jing Qin, -1

机译：广义Kendall的tau的条件独立性测试具有广义几率
7. An odd characterization of the generalized odd graphs [O] . van Dam, Edwin R., Haemers, Willem H. 2012

机译：奇数特征的广义奇数图
8. Odd Paths and Odd Circuits in Planar Graphs with Two Odd Faces [R] . Gerards, B. A. M. H. 1992

机译：具有两个奇面的平面图中的奇数路径和奇数电路

An odd characterization of the generalized odd graphs

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