There are Finitely Many Triangle-Free Distance-Regular Graphs with Degree 8, 9 or 10

J.H. Koolen; V. Moulton

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There are Finitely Many Triangle-Free Distance-Regular Graphs with Degree 8, 9 or 10

机译：有限度为8、9或10的无三角形距离正则图很多

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摘要

In this paper we prove that there are finitely many triangle-free distance-regular graphs with degree 8, 9 or 10.

机译：在本文中，我们证明了有限地存在次数为8、9或10的无三角形距离正则图。

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来源
《Journal of algebraic combinatorics》 |2004年第2期|共13页
作者
J.H. Koolen; V. Moulton;
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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; bannai-Ito conjecture;

机译：距离正则图;Bannai-Ito猜想;

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专利

1. There are Finitely Many Triangle-Free Distance-Regular Graphs with Degree 8, 9 or 10 [J] . J.H. Koolen, V. Moulton Journal of algebraic combinatorics . 2004,第2期

机译：有限度为8、9或10的无三角形距离正则图很多
2. Triangle-free distance-regular graphs [J] . Yeh-jong Pan, Min-hsin Lu, Chih-wen Weng Journal of algebraic combinatorics . 2008,第1期

机译：无三角形距离正则图
3. Triangle-free distance-regular graphs [J] . Yeh-jong Pan, Min-hsin Lu, Chih-wen Weng Journal of Algebraic Combinatorics . 2008,第1期

机译：无三角形距离正则图
4. The Relative Oriented Clique Number of Triangle-Free Planar Graphs Is 10 [C] . Soura Sena Das, Soumen Nandi, Sagnik Sen International Conference on Algorithms and Discrete Applied Mathematics . 2020

机译：无三角形平面图的相对定向集团数为10
5. Coloring Triangle-Free Graphs and Network Games [D] . Jamall, Mohammad Shoaib 2011

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6. Estimation of the central 10-degree visual field using en-face images obtained by optical coherence tomography [O] . Ryu Iikawa, Tetsuya Togano, Yuta Sakaue, 2020

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7. There are finitely many triangle-free distance-regular graphs with degree 8, 9, or 10 [O] . Koolen, J., Moulton, V. 2004

机译：数量有限的8、9或10级无三角形无距离正则图
8. Development of a GIFTS (Graphics-Oriented Interactive Finite-Element Time-Sharing System) Plotting Package Compatible with Either PLOT10 or IBM/DSM Graphics [R] . Pickles, T. R. 1983

机译：开发与pLOT10或IBm / Dsm图形兼容的GIFTs（面向图形的交互式有限元时间共享系统）绘图包

There are Finitely Many Triangle-Free Distance-Regular Graphs with Degree 8, 9 or 10

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