Chord theorems on graphs

dc.creatorJavaheri, Mohammad
dc.date2007-02-27
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:31:09Z
dc.date.available2026-07-07T08:31:09Z
dc.descriptionThe Horizontal Chord Theorem states that if a continuous curve connects points $A$ and $B$ in the plane, then for any integer $k$ there are points $C$ and $D$ on the curve such that $\overrightarrow{AB}=k \overrightarrow{CD}$. In this note, we discuss a few combinatorial-analysis problems related to this theorem and introduce a different formulation that gives way to generalizations on graphs.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0702805
dc.identifierhttp://arxiv.org/abs/math/0702805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138428
dc.subjectGroup Theory
dc.subject05C40, 05C45, 05C75
dc.titleChord theorems on graphs
dc.typetext

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