Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 5

A classification for bicyclic and tricyclic graphs with respect to Tutte polynomial

Zahra Yarahmadi(Islamic Azad University)0000-0003-1469-0842
Shiva Mir(Islamic Azad University)0000-0003-4065-5717
Sayfa
—
Yayın Tarihi
2020-10-06
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We prove some formulas for computing Tutte polynomial of bicyclic and tricyclic graph and finally classify tricyclic graph with respect to Tutte polynomial. ***************************************************************************************************************************** *****************************************************************************************************************************

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The Tutte polynomial of a graph is a polynomial in two variables defined for every simple graph contains information about how the graph is connected.
📊
Temel Bulgular & Veri:The Tutte polynomial of a graph is a polynomial in two variables defined for every simple graph contains information about how the graph is connected.
💡
Sonuç & Katkı:We prove some formulas for computing Tutte polynomial of bicyclic and tricyclic graph and finally classify tricyclic graph with respect to Tutte polynomial. ***************************************************************************************************************************** *****************************************************************************************************************************
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Tutte polynomial · bicyclic · tricyclic graph

Abstract

The Tutte polynomial of a graph is a polynomial in two variables defined for every simple graph contains information about how the graph is connected. We prove some formulas for computing Tutte polynomial of bicyclic and tricyclic graph and finally classify tricyclic graph with respect to Tutte polynomial. ***************************************************************************************************************************** *****************************************************************************************************************************

🔖

Bu Makaleye Atıf Yap

Yarahmadi, Z., Mir, S. (2020). A classification for bicyclic and tricyclic graphs with respect to Tutte polynomial. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 5. https://doi.org/10.15672/hujms.537824

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. J.M. Burgos, Singularities in Negamis splitting formula for the Tutte polynomial, Discrete Appl. Math. 237, 65-74, 2018.
  2. H.H. Crapo, The Tutte polynomial, Aequationes Math. 3 (3), 211-229, 1969.
  3. H. Deng, S. Chen and J. Zhang, The Merrifield-Simmons index in(n, n+1)-graphs, J. Math. Chem. 43, 75-91, 2008.
  4. A. Dolati, M. Haghighat, S. Golalizadeh and M. Safari, The smallest Hosoya index of con-nected tricyclic graphs, MATCH Commun. Math. Comput. Chem. 65, 57-70, 2011.
  5. S. Li and Z. Zhu, Sharp lower bound for total number of matching of tricyclic graphs, Electron. J. Comb. 17, 15 pages, 2010.
  6. S. Ok and T.J. Perrett, Density of real zeros of the Tutte polynomial, Electron. J. Discrete Math. 61, 941-946, 2017.
  7. Y.M. Tong, J.B. Liu, Z.Z. Jiang and N.N. Lv, Extreme values of the first general Zagreb index in tricyclic graphs, J. Hefei Univ. Nat. Sci. 1, 4-7, 2010.
  8. W.T. Tutte, A contribution to the theory chromatic polynomials, Canad. J.Math. 6, 80-91, 1953.
  9. W.T. Tutte, On dichromatic polynomials, J. Combin. Theory 2, 301-320, 1967.
  10. W.T. Tutte, On chromatic polynomials and the golden ratio, J. Combin. Theory 9, 289-296, 1970.
  11. W.T. Tutte, Graph-polynomials, Adv. Appl. Math. 32, 5-9, 2004.
  12. W.T. Tutte, A contribution to the theory chromatic polynomials, Canad. J.Math. 6, 80-91, 1953.