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## Generalization of pinching operation to binary matroids

#### Vahid GHORBANİ [1] , Ghodratollah AZADİ [2] , Habib AZANCHİLER [3]

In this paper, we generalize the pinching operation on two edges of graphs to binary matroids and investigate some of its basic properties. For $n\geq 2$, the matroid that is obtained from an $n$-connected matroid by this operation is a $k$-connected matroid with $k\in\{2,3,4\}$ or is a disconnected matroid. We find conditions to guarantee this $k$. Moreover, we show that Eulerian binary matroids are characterized by this operation and we also provide some interesting applications of this operation.
Binary matroid, Connectivity, Pinching, Splitting, Splitting off, Element splitting
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Primary Language en Engineering Articles Orcid: 0000-0002-7301-6973Author: Vahid GHORBANİ (Primary Author)Institution: Urmia UniversityCountry: Iran Orcid: 0000-0002-1807-4732Author: Ghodratollah AZADİ Institution: Urmia UniversityCountry: Iran Orcid: 0000-0002-2949-3836Author: Habib AZANCHİLER Institution: Urmia UniversityCountry: Iran Publication Date : September 6, 2020
 Bibtex @research article { jacodesmath784992, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2020}, volume = {7}, pages = {247 - 258}, doi = {10.13069/jacodesmath.784992}, title = {Generalization of pinching operation to binary matroids}, key = {cite}, author = {Ghorbani̇, Vahid and Azadi̇, Ghodratollah and Azanchi̇ler, Habib} } APA Ghorbani̇, V , Azadi̇, G , Azanchi̇ler, H . (2020). Generalization of pinching operation to binary matroids . Journal of Algebra Combinatorics Discrete Structures and Applications , 7 (3) , 247-258 . DOI: 10.13069/jacodesmath.784992 MLA Ghorbani̇, V , Azadi̇, G , Azanchi̇ler, H . "Generalization of pinching operation to binary matroids" . Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 247-258 Chicago Ghorbani̇, V , Azadi̇, G , Azanchi̇ler, H . "Generalization of pinching operation to binary matroids". Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 247-258 RIS TY - JOUR T1 - Generalization of pinching operation to binary matroids AU - Vahid Ghorbani̇ , Ghodratollah Azadi̇ , Habib Azanchi̇ler Y1 - 2020 PY - 2020 N1 - doi: 10.13069/jacodesmath.784992 DO - 10.13069/jacodesmath.784992 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 247 EP - 258 VL - 7 IS - 3 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.784992 UR - https://doi.org/10.13069/jacodesmath.784992 Y2 - 2020 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Generalization of pinching operation to binary matroids %A Vahid Ghorbani̇ , Ghodratollah Azadi̇ , Habib Azanchi̇ler %T Generalization of pinching operation to binary matroids %D 2020 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 7 %N 3 %R doi: 10.13069/jacodesmath.784992 %U 10.13069/jacodesmath.784992 ISNAD Ghorbani̇, Vahid , Azadi̇, Ghodratollah , Azanchi̇ler, Habib . "Generalization of pinching operation to binary matroids". Journal of Algebra Combinatorics Discrete Structures and Applications 7 / 3 (September 2020): 247-258 . https://doi.org/10.13069/jacodesmath.784992 AMA Ghorbani̇ V , Azadi̇ G , Azanchi̇ler H . Generalization of pinching operation to binary matroids. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(3): 247-258. Vancouver Ghorbani̇ V , Azadi̇ G , Azanchi̇ler H . Generalization of pinching operation to binary matroids. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(3): 247-258.

Authors of the Article
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