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Although simple, the average vertex degree of a connected graph is quite interesting. For example, in graphs where the vertex degree ... is constant, the number of nodes reached by extending out ... nodes from a single node is ... . For graphs where the vertex degrees are not all the same, and taking all vertices into account, the value of ... , where ... is the average vertex degree, provides another similar perspective.

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      EUN,LOM,LRE4,work-cmr-id:262314,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/AverageVertexDegreeOfConnectedGraphs/,ilox,learning resource exchange,LRE metadata application profile,LRE

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