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On the Weight Distribution of the Coset Leaders of Constacyclic Codes

Velikova, EvgeniyaBojilov, Asen — 2008

Serdica Journal of Computing

Constacyclic codes with one and the same generator polynomial and distinct length are considered. We give a generalization of the previous result of the first author [4] for constacyclic codes. Suitable maps between vector spaces determined by the lengths of the codes are applied. It is proven that the weight distributions of the coset leaders don’t depend on the word length, but on generator polynomials only. In particular, we prove that every constacyclic code has the same weight distribution...

An Inequality for Generalized Chromatic Graphs Едно неравенство за обобщени хроматични графи

Bojilov, AsenNenov, Nedyalko — 2012

Union of Bulgarian Mathematicians

Асен Божилов, Недялко Ненов - Нека G е n-върхов граф и редицата от степените на върховете му е d1, d2, . . . , dn, а V(G) е множеството от върховете на G. Степента на върха v бележим с d(v). Най-малкото естествено число r, за което V(G) има r-разлагане V(G) = V1 ∪ V2 ∪ · · · ∪ Vr, Vi ∩ Vj = ∅, , i 6 = j такова, че d(v) ≤ n − |Vi|, ∀v ∈ Vi, i = 1, 2, . . . , r е означено с ϕ(G). В тази работа доказваме неравенството ... Let G be a simple n-vertex graph with degree sequence d1, d2, . ....

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