Chromatic Symmetric Functions

Postgraduate Thesis uoadl:2881799 407 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2019-09-30
Year:
2019
Author:
Kalampogia-Evangelinou Aikaterini
Supervisors info:
Αθανασιάδης Χρήστος, Καθηγητής, Τμήμα Μαθηματικών, Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών
Original Title:
Χρωματικές Συμμετρικές Συναρτήσεις
Languages:
Greek
Translated title:
Chromatic Symmetric Functions
Summary:
The subject is chromatic symmetric functions, a generalization of chromatic polynomials. In the first chapter we give basic definitions about posets and graphs. In chapter 2 we talk about symmetric and quasi-symmetric functions. In chapter 3 we define chromatic symmetric functions and describe their expansion in the bases of the ring of symmetric functions. In chapter 4 we define chromatic quasi-symmetric functions and their expansions.
Main subject category:
Science
Keywords:
graph colorings, chromatic polynomial, acyclic orientations, chromatic symmetric functions, chromatic quasi-symmetric functions, posets, representation theory, schur functions
Index:
No
Number of index pages:
0
Contains images:
Yes
Number of references:
35
Number of pages:
92

Χρωματικές Συμμετρικές Συναρτήσεις.pdf
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