Çizge kategorileri ve çizgeler üzerinde operasyonlar
Bu tez size mi ait?
Bu kayıt toplu arşivden geldi. Sizinse profilinize bağlayın.
Özet (EN)
This thesis is an exploratory study on relationships between graph theory, category theory and algebras. We investigate if there is a viable definition of a morphism for (finite) graphs that is compatible with the fundamental functor which sends a graph to the base-pointed monoid of all paths on that graph. We construct three different graph categories and study functors from these graph categories to base-pointed monoid categories and algebra categories. As a result, we explain how graph operations correspond to morphisms in defined graph categories.
Yazar
Kadriye Dilek Tefenlili
Bu Yayına Nasıl Atıf Yapılır
Kadriye Dilek Tefenlili (Master Thesis). Çizge kategorileri ve çizgeler üzerinde operasyonlar, 2014, Koç University.
Anahtar Kelimeler
Lisans
Tüm Hakları Saklıdır
Bu eser belirtilen lisans koşulları altında paylaşılmaktadır.
Koç University tezlerinden daha fazlası
- Thinking of the ECtHR case law on same-sex marriage from the perspective of modern natural law: An evaluation based on the right to marry under the ECHR(2023)
- Obje tabanlı akıl danışma-tavsiye iletişimi tasarımına ilham kaynağı olarak Türk kahve falı(2017)
- The Making of a medical museum: Recontextualizing the Gülhane medical history collection in Ankara, Türkiye(2024)
- State-building in multi-ethnic borderlands: Nationalizing Eastern Anatolia and Transylvania in interwar Turkey and Romania(2021)
- Unwritten histories of photography: Elisa Zonaro, an Italian photographer in Ottoman Istanbul(2023)
- Cross-cultural and artistic dialogues in the seventeenth century constantinople/istanbul: The Iconography of Madonna della Misericordia and the Galata Icon(2024)