We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Among the many codings of spanning trees for evolutionary search are those based on bijections between Pr¨ufer strings—strings of n−2 vertex labels—and spanning trees on th...
We analyse transports between leaves in an edge-weighted tree. We prove under which conditions there exists a transport matching the weights of a given tree. We use this to compute...
It is widely realized that the integration of database and information retrieval techniques will provide users with a wide range of high quality services. In this paper, we study ...
Bolin Ding, Jeffrey Xu Yu, Shan Wang, Lu Qin, Xiao...
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...