Browsing by Author "Cevik, Ahmet Sinan"
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Publication A presentation and some finiteness conditions for a new version of the schiitzenberger product of monoids(Tübitak Bilimsel ve Teknolojik Araştırma Kurumu, 2016-01-01) Karpuz, Eylem Güzel; Ateş, Firat; Cevik, Ahmet Sinan; Cangül, İsmail Naci; CANGÜL, İSMAİL NACİ; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7111-3462; 0000-0002-0700-5774; ABA-6206-2020In this paper we first define a new version of the Schutzenberger product for any two monoids A and B, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result. In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.Publication On omega index and average degree of graphs(Hindawi, 2021-11-12) Delen, Sadık; Demirci, Musa; Cevik, Ahmet Sinan; Cangül, İsmail Naci; Delen, Sadık; DEMİRCİ, MUSA; CANGÜL, İSMAİL NACİ; 0000-0002-0700-5774; 0000-0002-6439-8439; 0000-0003-4689-3660; A-6557-2018; J-3505-2017; EUU-3205-2022Average degree of a graph is defined to be a graph invariant equal to the arithmetic mean of all vertex degrees and has many applications, especially in determining the irregularity degrees of networks and social sciences. In this study, some properties of average degree have been studied. Effect of vertex deletion on this degree has been determined and a new proof of the handshaking lemma has been given. Using a recently defined graph index called omega index, average degree of trees, unicyclic, bicyclic, and tricyclic graphs have been given, and these have been generalized to k-cyclic graphs. Also, the effect of edge deletion has been calculated. The average degree of some derived graphs and some graph operations have been determined.