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Algebraične karakterizacije in kombinatorične lastnosti (ne)regularnih grafov s tankim modulom s krajiščem nič / Algebraic characterizations and combinatorial properties of (non)regular graphs with thin module of endpoint zero

Naziv

Tittle

Algebraične karakterizacije in kombinatorične lastnosti (ne)regularnih grafov s tankim modulom s krajiščem nič / Algebraic characterizations and combinatorial properties of (non)regular graphs with thin module of endpoint zero

Akronim

Acronim

BI-US/19-21-019

Opis

Description

(SI) V tem projektu bomo študirali graf $\Gamma=(X,R)$ z $d+1$ različnih lastnih vrednosti, za katere algebra matrik generirana s primitivnim idempotentoma $\{E_0, E_1, ..., E_d\}$ ima drugo bazo sestavljeno iz ničelnih $|X|\times|X|$ $(0,1)$-matrik $\{F_0, F=F_1,...,F_d\}$. Rezultati projekta bodo predstavljeni na mednarodnih konferencah (Evropski matematični kongres 2020 v Portorožu) in seminarjih ter objavljeni v uglednih mednarodnih revijah z velikim faktorjem vpliva.
(EN) In this project we study the graph $\Gamma=(X,R)$ with $d+1$ distinct eigenvalues for which the algebra of matrices generated by the primitive idempotents $\{E_0, E_1, ..., E_d\}$ has a second basis consisting of zero $|X|\times|X|$ $(0,1)$-matrices $\{F_0, F=F_1,...,F_d\}$. The results of the project will be presented at international conferences (European Mathematical Congress 2020 in Portorož) and seminars and published in reputable international journals with high impact factors.

Trajanje

Duration

01/10/2019 - 30/09/2021

Vodja projekta

Project Leader

Safet Penjić

Sodelujoče organizacije

Participating organizations

Department of Mathematical Sciences, University of Delaware

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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