University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Algebraic Combinatorics Seminar - Logan CrewExport this event to calendar

Thursday, September 17, 2020 — 2:30 PM EDT

Title: Edge Deletion-Contraction in the Chromatic and Tutte Symmetric Functions

Speaker: Logan Crew
Affiliation: University of Waterloo
Zoom: Contact Karen Yeats

Abstract:

We consider symmetric function analogues of the chromatic and Tutte polynomials on graphs whose vertices have positive integer weights. We show that in this setting these functions admit edge deletion-contraction relations akin to those of the corresponding polynomials, and we use these relations to give enumerative and/or inductive proofs of properties of these functions. In particular we note that the Tutte symmetric function in this form is related to a family of vertex-weighted graph functions, from which we derive a recipe theorem and a spanning-tree expansion.

This is joint work with Sophie Spirkl.

S M T W T F S
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
3
  1. 2020 (92)
    1. November (1)
    2. October (1)
    3. September (12)
    4. August (11)
    5. July (17)
    6. June (11)
    7. May (6)
    8. March (11)
    9. February (11)
    10. January (11)
  2. 2019 (167)
    1. December (5)
    2. November (15)
    3. October (18)
    4. September (15)
    5. August (9)
    6. July (17)
    7. June (18)
    8. May (16)
    9. April (9)
    10. March (24)
    11. February (13)
    12. January (8)
  3. 2018 (138)
  4. 2017 (103)
  5. 2016 (137)
  6. 2015 (136)
  7. 2014 (88)
  8. 2013 (48)
  9. 2012 (39)
  10. 2011 (36)
  11. 2010 (40)
  12. 2009 (40)
  13. 2008 (39)
  14. 2007 (15)