About: A remark on branch weights in countable trees

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Let T be a tree, let u be its vertex. The branch weight b(u) of u is the maximum number of vertices of a branch of T at u. The set of vertices u of T in which b(u) attains its minimum is the branch weight centroid B(T) of T. For finite trees the present author proved that B(T) coincides with the median of T, therefore it consists of one vertex or of two adjacent vertices. In this paper we show that for infinite countable trees the situation is quite different. Let T be a tree, let u be its vertex. The branch weight b(u) of u is the maximum number of vertices of a branch of T at u. The set of vertices u of T in which b(u) attains its minimum is the branch weight centroid B(T) of T. For finite trees the present author proved that B(T) coincides with the median of T, therefore it consists of one vertex or of two adjacent vertices. In this paper we show that for infinite countable trees the situation is quite different. (en)
Title	A remark on branch weights in countable trees A remark on branch weights in countable trees (en)
skos:prefLabel	A remark on branch weights in countable trees A remark on branch weights in countable trees (en)
skos:notation	RIV/46747885:24510/04:#0000231!RIV10-MSM-24510___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 245100302)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Zelinka, Bohdan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta přírodovědně-humanitní a pedagogická
http://linked.open...dnocenehoVysledku	553144
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/04:#0000231
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	branch weight; branch weight centroid; degree of a vertex (en)
http://linked.open.../riv/klicoveSlovo	branch weight branch weight centroid degree of a vertex
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[A72340515784]
http://linked.open...i/riv/nazevZdroje	MATHEMATICA BOHEMICA
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	129
http://linked.open...iv/tvurceVysledku	Zelinka, Bohdan
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20245100302
issn	0862-7959
number of pages	3 (xsd:int)
http://localhost/t...ganizacniJednotka	24510

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