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Isomorphism of Weighted Trees and Stanle...

Loebl, Martin...

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Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars by Loebl, Martin ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	This paper contributes to a programme initiated by the first author: `How much information about a graph is revealed in its Potts partition function?'. We show that the $W$-polynomial distinguishes non-isomorphic weighted trees of a \emph{good} family. The framework developed to do so also allows us to show that the $W$-polynomial distinguishes non-isomorphic caterpillars. This establishes Stanley's isomorphism conjecture for caterpillars, an extensively studied problem.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1405.4132

Citation

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AMA 11th EditionReferences

Loebl, Martin. Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars. Australian National University. September 06, 2023. Accessed November 13, 2024. https://online.provdatabase.com/cite/23456

APA 7th EditionReferences

Loebl, Martin. (2023). Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars. Australian National University. https://online.provdatabase.com/cite/23456

Chicago 17th EditionReferences

Loebl, Martin. Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars. Australian National University. 2023. https://online.provdatabase.com/cite/23456

HarvardReferences

Loebl, Martin. (2023). Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23456. (Accessed 13 November 2024).

Harvard AustraliaReferences

Loebl, Martin, 2023, Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars, Australian National University, viewed 13 November 2024, <https://online.provdatabase.com/cite/23456>

MLA 9th EditionWorks Cited

Loebl, Martin. Isomorphism of Weighted Trees and Stanley's Conjecture for Caterpillars. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23456.

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