Chnotourg first formulation select each edge to either benthegraph - - PDF document

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Chnotourg first formulation select each edge to either benthegraph - - PDF document

Sep 04, 2022 25 likes •145 views

Chomutov Polynomial 50010.1 Towards a Symmetric Tutte Polynomial Chnotourg first formulation select each edge to either benthegraph ornotathegraphortuits dual Assign to each connected componentiealabelan the original graph org nthe dual graph

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SLIDE 1

50010.1 Chomutov Polynomial

Towards a Symmetric Tutte

Polynomial

Chnotourgfirst

formulation

selecteachedgetoeither

benthegraph ornotathegraphortuitsdual

Assignto each connected componentiealabelantheoriginal

graph

  • rgnthedualgraph whereKisthe

numberofvertices me

Taketheproductof

theselabels andsunovereachstate

H H H K

a

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SLIDE 2

3

x3

xl

l

13912131392

3174292

4392

a

x3

Xl

Xl

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SLIDE 3

Hy

t 31393 3139,92

139,3

13912131392

3179292

19392

Its DualReversing

Defineittobesymmetric

1 overX

q

  • ver y

Exercises

Examples

slide-4
SLIDE 4

I

Lx np

1791

129144291

1391149139,49391 129,442924929419292

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SLIDE 5

HM

119391

13914513924944921939292

t

513192924513241951513439511492

Asa

slide-6
SLIDE 6

1229 144439 1499

Aais

Huh

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SLIDE 7

Introducing

Sesquigraphs

ie

pfMhj

f ABE

slide-8
SLIDE 8

I

µ

i

slide-9
SLIDE 9

Deletion

Contraction

andthe second formulation I

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SLIDE 10

Weighting

Associatewitheach

elementinAandB anaturalnumber

Itsweightdefaulting

to one

Eokttoation Isacontractiononthevioletset

andadeletiononthelineset

IsthmusContraction

IsthmusDeletion

a a

Atty

9

be

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SLIDE 11

D

DCS e

Dose

iii

i

i

ii

311

32

32

122

32

122

122

1112

139,2 13139213141292171392

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SLIDE 12

Stanley

Xiao

I

Deas D

Dichromatic

Za D

6

DCE D