The complete bipartite graphs which have exactly two orientably edge-transitive embeddings
نویسندگان
چکیده
منابع مشابه
Links inside Straight-Edge Embeddings of Complete Bipartite Graphs
We prove the following theorem. Let L be any link. There is some N = NL such that every straight-edge embedding of the complete bipartite graph KN,N contains a finite union of cycles having link type L. This result builds on the ideas of S. Negami, who proved the analogous result for complete graphs. Most of our motivation for this paper is to give a simpler proof of Negami’s Theorem.
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let g=(v,e) be a simple graph. an edge labeling f:e to {0,1} induces a vertex labeling f^+:v to z_2 defined by $f^+(v)equiv sumlimits_{uvin e} f(uv)pmod{2}$ for each $v in v$, where z_2={0,1} is the additive group of order 2. for $iin{0,1}$, let e_f(i)=|f^{-1}(i)| and v_f(i)=|(f^+)^{-1}(i)|. a labeling f is called edge-friendly if $|e_f(1)-e_f(0)|le 1$. i_f(g)=v_f(1)-v_f(0) is called the edge-f...
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let $g=(v,e)$ be a simple graph. an edge labeling $f:eto {0,1}$ induces a vertex labeling $f^+:vtoz_2$ defined by $f^+(v)equiv sumlimits_{uvin e} f(uv)pmod{2}$ for each $v in v$, where $z_2={0,1}$ is the additive group of order 2. for $iin{0,1}$, let $e_f(i)=|f^{-1}(i)|$ and $v_f(i)=|(f^+)^{-1}(i)|$. a labeling $f$ is called edge-friendly if $|e_f(1)-e_f(0)|le 1$. $i_f(g)=v_f(...
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2020
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.1900.cc1