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Title:
PERMUTAEDER
Authors:
ID
Prah, Klara
(Author)
ID
Kovše, Matjaž
(Mentor)
More about this mentor...
Files:
UNI_Prah_Klara_2011.pdf
(891,37 KB)
MD5: 5A3E4F07452F4127F67C9B0AA8E6BAE7
PID:
20.500.12556/dkum/0a547c3a-3a3c-440e-aed1-fdbb60c4621d
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
V diplomskem delu bomo podrobneje obravnavali konveksni politop imenovan permutaeder. V prvem poglavju bomo spoznali matematične definicije nekaterih pojmov, ki jih bomo potrebovali v nadaljevanju. V drugem poglavju si bomo pogledali dokaz, da je graf permutaedra hamiltonski graf. V tretjem poglavju bomo dokazali, da razdalje med oglišči v n-dimenzionalnem permutaedru zavzemajo vsa soda števila. V četrtem poglavju si bomo pogledali asociaeder, ki posplošuje permutaeder.
Keywords:
permutaeder
,
zonotop
,
konveksni politop
,
hamiltonski graf
,
minkowskyjeva vsota
,
Caylejev graf
,
asociaeder.
Place of publishing:
Maribor
Publisher:
[K. Prah]
Year of publishing:
2011
PID:
20.500.12556/DKUM-20025
UDC:
51(043.2)
COBISS.SI-ID:
18640904
NUK URN:
URN:SI:UM:DK:TWJWL7WT
Publication date in DKUM:
26.09.2011
Views:
2600
Downloads:
116
Metadata:
Categories:
FNM
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:
PRAH, Klara, 2011,
PERMUTAEDER
[online]. Bachelor’s thesis. Maribor : K. Prah. [Accessed 14 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=20025
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Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.
Secondary language
Language:
English
Title:
PERMUTOHEDRON
Abstract:
In the thesis we discuss in more detail the convex polytope called permutohedron. In the first chapter we present mathematical definitions of certain concepts which we need later on. In the second chapter we show that the graph of permutohedron is a Hamiltonian graph. In the third chapter we prove that the distances between the vertices in n-dimensional permutohedron take all even numbers. In the fourth chapter we look at another polytope associahedron, which generalizes permutohedron.
Keywords:
permutohedron
,
zonohedron
,
convex polytopes
,
Hamiltonian graphs
,
Minkowski sum
,
Cayley graph
,
associahedron.
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