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pro vyhledávání: '"Krebs, Mike"'
Autor:
Krebs, Mike, Sankar, Maya
Let $G$ be an abelian group. The main theorem of this paper asserts that there exists a Cayley graph on $G$ with chromatic number 3 if and only if $G$ is not of exponent 1, 2, or 4. Although motivated by ideas from algebraic topology, our proof may b
Externí odkaz:
http://arxiv.org/abs/2410.11028
Autor:
Cervantes, Jonathan, Krebs, Mike
Given a set $S$ of positive integers, the integer distance graph for $S$ has the set of integers as its vertex set, where two vertices are adjacent if and only if the absolute value of their difference lies in $S$. In 2002, Zhu completely determined
Externí odkaz:
http://arxiv.org/abs/2303.06276
Autor:
Cervantes, Jonathan, Krebs, Mike
A connected Cayley graph on an abelian group with a finite generating set $S$ can be represented by its Heuberger matrix, i.e., an integer matrix whose columns generate the group of relations between members of $S$. In a companion article, the author
Externí odkaz:
http://arxiv.org/abs/2303.06272
Autor:
Cervantes, Jonathan, Krebs, Mike
A cubelike graph is a Cayley graph on the product $\mathbb{Z}_2\times\cdots\times\mathbb{Z}_2$ of the integers modulo $2$ with itself finitely many times. In 1992, Payan proved that no cubelike graph can have chromatic number $3$. The authors of the
Externí odkaz:
http://arxiv.org/abs/2303.06267
Autor:
Cervantes, Jonathan, Krebs, Mike
Publikováno v:
Linear Algebra and its Applications, Volume 676, 1 November 2023, Pages 277-295
In this paper, we take a modest first step towards a systematic study of chromatic numbers of Cayley graphs on abelian groups. We lose little when we consider these graphs only when they are connected and of finite degree. As in the work of Heuberger
Externí odkaz:
http://arxiv.org/abs/2303.06262
Autor:
Krebs, Mike
To each connected component in the space of semisimple representations from the orbifold fundamental group of the base orbifold of a Seifert fibered homology 3-sphere into the Lie group U(2,1), we associate a real number called the "orbifold Toledo i
Externí odkaz:
http://arxiv.org/abs/math/0503509
Akademický článek
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Autor:
DSOUZA, KEITH, KREBS, MIKE
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2013 Jan 01. 43(2), 469-478.
Externí odkaz:
http://www.jstor.org/stable/44240140
Autor:
Knudsen, Jakob, Krebs, Mike
Interview in the Woodward’s Amateur Historical Society (W.W.A.S.) Oral History Archive. Produced in Response to: Direct Action and the Archive: A Screening of Sid Chow Tan’s Video Journalism & Woodsquat Open Archive by Josh Gabert-Doyon @ Pollyan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6909f3f2a3ff4a6e9ab768dc74494a96