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Estimating the length of minimal spanning trees in compression of files

BIT, 1984
Compression of a formatted file by a minimal spanning tree (MST) is studied. Here the records of the file are considered as the nodes of a weighted undirected graph. Each record pair is connected in the graph and the corresponding arc is weighted by the sum of field lengths of those fields which differ in the two records. The actual compression is made
Jarmo Ernvall, Olli Nevalainen
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The Expected Length of a Minimal Spanning Tree of a Cylinder Graph

Combinatorics, Probability and Computing, 2006
A cylinder graph is the graph Cartesian product of a path and a cycle. In this paper we investigate the length of a minimal spanning tree of a cylinder graph whose edges are assigned random lengths according to independent and uniformly distributed random variables. Our work was inspired by a formula of J.
Kevin R. Hutson, Thomas M. Lewis
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On random minimum length spanning trees

Combinatorica, 1989
We extend and strengthen the result that, in the complete graphKn with independent random edge-lengths uniformly distributed on [0, 1], the expected length of the minimum spanning tree tends toζ(3) asn→∞. In particular, ifKn is replaced by the complete bipartite graphKn, n then there is a corresponding limit of 2ζ (3).
Alan M. Frieze, Colin J. H. McDiarmid
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MODE LOCALIZATION IN SIMPLY SUPPORTED TWO-SPAN BEAMS OF ARBITRARY SPAN LENGTHS

Journal of Sound and Vibration, 1998
The present study is concerned with the occurrence and the vari&tion of the mode localization in both periodic beams and non periodic ones.
Dong-Ok Kim, In-Won Lee
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On random minimum length spanning trees

2018
Mathematics Technical ...
Frieze, McDiarmid, C. J. H.
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Constructing minimal spanning/Steiner trees with bounded path length

Integration, 1997
Summary: This paper presents an exact algorithm and two heuristics for solving the Bounded path length Minimal Spanning Tree (BMST) problem. The exact algorithm which is based on iterative negative-sum-exchanges(s) has polynomial space complexity and is hence more practical than the method presented by Gabow. The first heuristic method (BKRUS) is based
Jaewon Oh, Iksoo Pyo, Massoud Pedram
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Polynomial-Length Planning Spans the Polynomial Hierarchy

2002
This paper presents a family of results on the computational complexity of planning: classical, conformant, and conditional with full or partial observability. Attention is restricted to plans of polynomially-bounded length. For conditional planning, restriction to plans of polynomial size is also considered.
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The span length and cross-sectional design affect values of strength

Dental Materials, 2005
The aim of this study was to determine experimentally flexural strength and flexural modulus of fiber-reinforced composite (FRC) with different cross-sectional designs and diameters and tested with different span lengths.Continuous FRC test specimens (n = 6) were made with two different cross-sectional designs, namely circular and rectangular.
Pasi, Alander   +2 more
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The effect of isoprenoid side chain length of ubiquinone on life span

Medical Hypotheses, 2003
The isoprenoid side chain length of ubiquinone (Q) can have an effect on the life span of mammals. The short living mouse and rat have Q(9), while primates have Q(10) as the major form. Ubiquinones (Qs) having longer hydrophobic tail are likely more imbedded in the mitochondrial inner membrane than the ones having shorter tails.
Abdullah, Olgun   +3 more
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Span-Length Distributions of Star-Branched Polymers

Macromolecular Theory and Simulations, 2002
Many relations between the physical, rheological or mechanical properties of linear polymers and their molar mass are well known. For disperse polymers, parameters that express these relations are typically related to (a combination of) the moments of the molar-mass distribution.
Cokki Versluis   +2 more
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