A State Sum for the Total Face Color Polynomial

ABSTRACT The total face color polynomial is based upon the Poincaré polynomials of a family of filtered n‐color homologies. It counts the number of n‐face colorings of ribbon graphs for each positive integer n. As such, it may be seen as a successor of the Penrose polynomial, which at n = 3 counts 3...

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Veröffentlicht in:	Journal of graph theory Jg. 109; H. 4; S. 481 - 491
Hauptverfasser:	Baldridge, Scott, Kauffman, Louis H., McCarty, Ben
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Hoboken Wiley Subscription Services, Inc 01.08.2025
Schlagworte:	coloring Graph coloring Graphs Homology perfect matching Polynomials Quantum theory spectral sequence Sums Tensors topological quantum field theory
ISSN:	0364-9024, 1097-0118
Online-Zugang:	Volltext
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