Reid, K.B.

center vertex subtree vertice algorithm centroid class median caterpillar order eccentricity status function graph tree g xk ni proof distance location definition degree tree t profile location function time algorithms caterpillar center example path center trees t time algorithm subgraph axiom theorem non-root vertex v | vi | vertex x center function vertex v component family path p slater k-tree core mcmorri | ni | k-tree consensus consensus function subtree t number theorem 3.6 network integer lemma branchweight centrality facility diameter result lobster generalization substructure xk n sd vm +p 1 i k 1 i n order k path centroid caterpillar centroid step i spine corollary problem value jordan respect neighbor length notion spider