@misc{oai:niigata-u.repo.nii.ac.jp:00005358,
author = {Naya, Shintaro},
month = {Mar},
note = {Let D be a compact polygonal Alexandrov surface with curvature bounded below by k. We study the minimum network problem of interconnecting the vertices of the boundary polygon ∂D in D. We construct a smooth polygonal surface D^^~ with constant curvature k such that the length of its minimum spanning trees is equal to that of D and the length of its Steiner minimum trees is less than or equal to D's. As an application we show a comparison theorem of Steiner ratios for polygonal surfaces., 学位の種類: 博士（理学）. 報告番号: 甲第3776号. 学位記番号: 新大院博（理）甲第376号. 学位授与年月日: 平成25年3月25日, 新大院博（理）甲第376号},
title = {A comparison theorem for Steiner minimum trees in polygonal surfaces with curvature bounded below},
year = {2013}
}