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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Volume: 10 Special Issue

Hosoya Polynomial of Graphs Belonging to Twist Knots

Abdulgani Şahin(AĞRI İBRAHİM ÇEÇEN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)
Bünyamin Şahin(BAYBURT ÜNİVERSİTESİ, BAYBURT EĞİTİM FAKÜLTESİ)
Sayfa
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Yayın Tarihi
2018-12-29
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:There is a deep relationship between knot theory and graph theory.
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Temel Bulgular & Veri:Graphs are effective tools for studies into knot theory.
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Sonuç & Katkı: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
🔬Tür:Conference Paper
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Şahin, A., Şahin, B. (2018). Hosoya Polynomial of Graphs Belonging to Twist Knots. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324898

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Kaynakça (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.