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Koncept dominacije v Cayleyevih grafih / Domination concept in Cayley graphs

Naziv

Tittle

Koncept dominacije v Cayleyevih grafih / Domination concept in Cayley graphs

Akronim

Acronim

BI-TR/16-18-002

Opis

Description

(SI) Naš cilj bo raziskati dominacijo v Cayleyevih grafih abelskih in diedrskih grup, katerih stopnja je 3, 4 ali 5. V drugem delu bomo poskusili dobljene rezultate posplošiti v več smereh. Najprej bomo poskušali rezultate posplošiti na Cayleyeve grafe abelskih in diederskih grup, ki so večje stopnje. Dalje bomo rezultate posplošiti na Cayleyeve grafe nad nekaterimi drugimi grupami (kot na primer posplošenimi diedrskimi grupami) ter na vozliščno-tranzitivne grafe. Dodaten cilj projekta pa je tudi poiskati smernice za nadaljnjo raziskovalno sodelovanje. Navadno se v procesu dokazovanja matematičnih izrekov izoblikuje precej novih možnih smeri raziskovanja.
(EN) Our aim will be to investigate the dominance in Cayley graphs of abelian and dyadic groups with degree 3, 4 or 5. In the second part we will try to generalise the results in several directions. First, we will try to generalize the results to Cayley graphs of abelian and dieder groups of higher degree. Next, we will generalize the results to Cayley graphs over some other groups (such as generalized Dieder groups) and to node-transitive graphs. An additional goal of the project is to find guidelines for further research collaboration. Usually, in the process of proving mathematical theorems, many new possible research directions emerge.

Trajanje

Duration

01/01/2016 - 31/12/2018

Vodja projekta

Project Leader

Štefko Miklavič

Sodelujoče organizacije

Participating organizations

Gebze Technical University

Oddelek

Department

Oddelek za matematiko IAM
University of Primorska

Andrej Marušič Institute
UP IAM

Muzejski trg 2
6000 Koper
Slovenia

tel.: +386 (0)5 611 75 91
fax.: +386 (0)5 611 75 92
e-mail: info@iam.upr.si
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