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The rotor walk on a graph is a deterministic analogue of random walk. Each vertex is equipped with a rotor, which routes the walker to the neighbouring vertices in a fixed cyclic order on successive ...
In this paper we examine the relationship between hyperconvex hulls and metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property is inherited b...
On the Weak-Integrity of Trees     Stability  Connectivity  Integrity       2010/3/1
In this paper the concept of {\em weak-integrity} is introduced as a new measure of the stability of a graph \( G \) and it is defined as Iw(G)={\minS\subset V(G)\{|S|+me(G-S)\}}, where me(G-S) denote...

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