On the Entropy of Vertx Degrees Distributions in a Random Hypertree

Michal Karonski; Krzysztof Nowicki

On the Entropy of Vertx Degrees Distributions in a Random Hypertree

Department of Statistics

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

In this paper the entropy of the joint distributions of vertex degrees and vertex degree frequencies of random hypertrees and in particular random trees are studied. Due to the relationship between random hypertrees and random allocations of particles into cells, the entropy of occupancy distributions in the case where the number of particles does not exceed the number of urns is also established.

Original language	English
Title of host publication	Advances in Graph Theory
Editors	V.R. Kulli
Publisher	Vishwa International Publications
Pages	215-226
Publication status	Published - 1991

Subject classification (UKÄ)

Probability Theory and Statistics

Cite this

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title = "On the Entropy of Vertx Degrees Distributions in a Random Hypertree",

abstract = "In this paper the entropy of the joint distributions of vertex degrees and vertex degree frequencies of random hypertrees and in particular random trees are studied. Due to the relationship between random hypertrees and random allocations of particles into cells, the entropy of occupancy distributions in the case where the number of particles does not exceed the number of urns is also established.",

author = "Michal Karonski and Krzysztof Nowicki",

year = "1991",

language = "English",

pages = "215--226",

editor = "V.R. Kulli",

booktitle = "Advances in Graph Theory",

publisher = "Vishwa International Publications",

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T1 - On the Entropy of Vertx Degrees Distributions in a Random Hypertree

AU - Karonski, Michal

AU - Nowicki, Krzysztof

PY - 1991

Y1 - 1991

N2 - In this paper the entropy of the joint distributions of vertex degrees and vertex degree frequencies of random hypertrees and in particular random trees are studied. Due to the relationship between random hypertrees and random allocations of particles into cells, the entropy of occupancy distributions in the case where the number of particles does not exceed the number of urns is also established.

AB - In this paper the entropy of the joint distributions of vertex degrees and vertex degree frequencies of random hypertrees and in particular random trees are studied. Due to the relationship between random hypertrees and random allocations of particles into cells, the entropy of occupancy distributions in the case where the number of particles does not exceed the number of urns is also established.

M3 - Paper in conference proceeding

SP - 215

EP - 226

BT - Advances in Graph Theory

A2 - Kulli, V.R.

PB - Vishwa International Publications

ER -

On the Entropy of Vertx Degrees Distributions in a Random Hypertree

Abstract

Subject classification (UKÄ)

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