Autor: Chelvam, T. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Intersection graph of gamma sets in the total graph
Autorzy:: Chelvam, T.
Asir, T.
Powiązania:: https://bibliotekanauki.pl/articles/743214.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: total graph
gamma sets
intersection graph
Hamiltonian
coloring
connectivity
domination number
Opis:: In this paper, we consider the intersection graph $I_{Γ}(ℤₙ)$ of gamma sets in the total graph on ℤₙ. We characterize the values of n for which $I_{Γ}(ℤₙ)$ is complete, bipartite, cycle, chordal and planar. Further, we prove that $I_{Γ}(ℤₙ)$ is an Eulerian, Hamiltonian and as well as a pancyclic graph. Also we obtain the value of the independent number, the clique number, the chromatic number, the connectivity and some domination parameters of $I_{Γ}(ℤₙ)$.
Źródło:: Discussiones Mathematicae Graph Theory; 2012, 32, 2; 341-356
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the connectivity of the annihilating-ideal graphs
Autorzy:: Chelvam, T.
Selvakumar, K.
Powiązania:: https://bibliotekanauki.pl/articles/728900.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: annihilating-ideal graph
local ring
nilpotency
cut vertex
Opis:: Let R be a commutative ring with identity and *(R) the set of non-zero ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph (R) with the vertex set *(R) and two distinct vertices I₁ and I₂ are adjacent if and only if I₁I₂ = (0). In this paper, we examine the presence of cut vertices and cut sets in the annihilating-ideal graph of a commutative Artinian ring and provide a partial classification of the rings in which they appear. Using this, we obtain the vertex connectivity of some annihilating-ideal graphs.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 2; 195-204
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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