An {\it orientation} of a graph $G$ is a digraph $D$ obtained from $G$ by replacing each edge by exactly one of the twopossible arcs with the same endvertices.For each $v \in V(G)$, the \emph{indegree} of $v$ in $D$, denoted by $d^-_D(v)$, is the number of arcs with head $v$ in $D$.An orientation $D$ of $G$ is \emph{proper} if $d^-_D(u)\neq...
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February 9, 2015 (v1)Journal articleUploaded on: March 25, 2023
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March 10, 2014 (v1)Report
An {\it orientation} of a graph~$G$ is a digraph~$D$ obtained from~$G$ by replacing each edge by exactly one of the two possible arcs with the same endvertices. For each~$v \in V(G)$, the \emph{indegree} of~$v$ in~$D$, denoted by~$d^-_D(v)$, is the number of arcs with head~$v$ in~$D$. An orientation~$D$ of~$G$ is \emph{proper} if~$d^-_D(u)\neq...
Uploaded on: December 3, 2022 -
March 10, 2014 (v1)Report
An {\it orientation} of a graph~$G$ is a digraph~$D$ obtained from~$G$ by replacing each edge by exactly one of the two possible arcs with the same endvertices. For each~$v \in V(G)$, the \emph{indegree} of~$v$ in~$D$, denoted by~$d^-_D(v)$, is the number of arcs with head~$v$ in~$D$. An orientation~$D$ of~$G$ is \emph{proper} if~$d^-_D(u)\neq...
Uploaded on: October 11, 2023