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

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 where K is the number of vertices me Take the product of these labels and sun over each state H H H K a

3 x3 xl l 4392 3174292 13912 131392 a x3 Xl X l

Hy t 31393 3139,92 139,3 19392 3179292 13912 131392 Its Dual Reversing Define it to be symmetric 1 over X over y q Exercises Examples

Lx n p I 1791 129144291 13911 49139,49391 129,442924929419292

HM 119391 13914513924944921 939292 t 513192924513241951513439511492 Asa

1229 144439 1499 Aais Huh

Introducing Sesquigraphs f ABE ie pfMhj

I µ i

Deletion Contraction and the second formulation I

Associatewitheach Weighting elementinAandB anaturalnumber Itsweight defaulting to one Eokttoation Isacontractiononthevioletset andadeletiononthelineset Isthmus Contraction Isthmus Deletion a a 9 Atty be

D Dose DCS e iii ii i i 32 32 32 122 1112 311 122 122 139,2 131392 13141292171392

Stanley Xiao I Deas D Dichromatic DCE D Za D 6