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Introduction to Graph Pebbling and Rubbling

Authors: Sieben, Nándor;

Introduction to Graph Pebbling and Rubbling

Abstract

A graph pebbling move removes two pebbles from a vertex of a graph and adds one pebble to an adjacent vertex. In graph rubbling an additional move is allowed that adds a pebble at a vertex after the removal of one pebble each at two adjacent vertices. A vertex is reachable if a pebble can be moved to the vertex using pebbling/rubbling moves. We study the reachability of vertices under different requirements. After a short introduction to pebbling, the known results about rubbling are summarized.

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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