Statuses and branch-weights of weighted trees
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1019-1025
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper we show that in a tree with vertex weights the vertices with the second smallest status and those with the second smallest branch-weight are the same.
In this paper we show that in a tree with vertex weights the vertices with the second smallest status and those with the second smallest branch-weight are the same.
Classification :
05C05, 05C12
Keywords: tree; status; branch-weight; median; centroid; second median; second centroid
Keywords: tree; status; branch-weight; median; centroid; second median; second centroid
@article{CMJ_2009_59_4_a11,
author = {Lin, Chiang and Shang, Jen-Ling},
title = {Statuses and branch-weights of weighted trees},
journal = {Czechoslovak Mathematical Journal},
pages = {1019--1025},
year = {2009},
volume = {59},
number = {4},
mrnumber = {2563574},
zbl = {1224.05148},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a11/}
}
Lin, Chiang; Shang, Jen-Ling. Statuses and branch-weights of weighted trees. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1019-1025. http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a11/
[1] Entringer, R. C., Jackson, D. E., Snyder, D. A.: Distance in graphs. Czech. Math. J. 26 (1976), 283-296. | MR | Zbl
[2] Kang, A., Ault, D.: Some properties of a centroid of a free tree. Inform. Process. Lett. 4 (1975), 18-20. | DOI | MR | Zbl
[3] Kariv, O., Hakimi, S. L.: An algorithmic approach to network location problems. II: The $p$-medians, SIAM J. Appl. Math. 37 (1979), 539-560. | DOI | MR | Zbl
[4] Zelinka, B.: Medians and peripherians of trees. Arch. Math. (Brno) 4 (1968), 87-95. | MR | Zbl