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Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 10 - Sayı: 10

Hosoya Polynomial of Graphs Belonging to Twist Knots

ABDULGANİ ŞAHİN
Bünyamin ŞAHİN
Pages
38–42
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this study, we firstly introduce Hosoya polynomial and we work out the Hosoya polynomials for graphs of twist knots which are one of interesting families of knots

📌 3 Key Takeaways

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Objective & Hypothesis:There is a deep relationship between knot theory and graph theory.
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Key Findings & Data:Graphs are effective tools for studies into knot theory.
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Conclusion & Impact:In this study, we firstly introduce Hosoya polynomial and we work out the Hosoya polynomials for graphs of twist knots which are one of interesting families of knots
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Twist knots · Knot graph · Hosoya polynomial

Abstract

There is a deep relationship between knot theory and graph theory. Graphs are effective tools for studies into knot theory. It is possible to switch between the two theories by forming the graphs of knots. Thus, the study areas of the two theories meet on a common ground. In this study, we firstly introduce Hosoya polynomial and we work out the Hosoya polynomials for graphs of twist knots which are one of interesting families of knots

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Cite This Article

ŞAHİN, A., ŞAHİN, B. (2018). Hosoya Polynomial of Graphs Belonging to Twist Knots. Turkish Journal of Mathematics and Computer Science, Cilt: 10 - Sayı: 10, 38–42. https://ajindex.com/articles/374723

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References (4)

  1. Deutsch, E., Klavzar, S., Computing Hosoya polynomials of graphs from primary subgraphs, MATCH Communications in Mathematical and in Computer Chemistry, 70(2)(2013), 627–644.
  2. Deutsch, E., Klavzar, S., The Hosoya polynomial of distance-regular graphs, Discrete Applied Mathematics, 178(2014), 153–156.
  3. Farahani, M.R., On the Schultz polynomial and Hosoya polynomial of circumcoronene series of benzenoid, Journal Applied Mathematics & Informatics, 31(2)(2013), 595–608.
  4. Johnson, I., Henrich, A.K., A Interactive Introduction to Knot Theory, Dover Publications, Inc., Mineola, New York, 2017.