SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 391-399
Voir la notice de l'article provenant de la source Cambridge
This paper is a continuation for the study of the zero-divisor graph for the ring of Gaussian integers modulo n, Γ(Zn[i]) in [8] (Emad Abu Osba, Salah Al-Addasi and Nafez Abu Jaradeh. Zero divisor graph for the ring of Gaussin integers modulo n. Comm. Algebra 36(10) (2008), 3865–3877). It is investigated, when is Γ(Zn[i]) locally H, Hamiltonian or bipartite graph? A full characterisation for the chromatic number and the radius is also given.
OSBA, EMAD ABU; AL-ADDASI, SALAH; AL-KHAMAISEH, BASEM. SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 391-399. doi: 10.1017/S0017089511000024
@article{10_1017_S0017089511000024,
author = {OSBA, EMAD ABU and AL-ADDASI, SALAH and AL-KHAMAISEH, BASEM},
title = {SOME {PROPERTIES} {OF} {THE} {ZERO-DIVISOR} {GRAPH} {FOR} {THE} {RING} {OF} {GAUSSIAN} {INTEGERS} {MODULO} n},
journal = {Glasgow mathematical journal},
pages = {391--399},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S0017089511000024},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000024/}
}
TY - JOUR AU - OSBA, EMAD ABU AU - AL-ADDASI, SALAH AU - AL-KHAMAISEH, BASEM TI - SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n JO - Glasgow mathematical journal PY - 2011 SP - 391 EP - 399 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000024/ DO - 10.1017/S0017089511000024 ID - 10_1017_S0017089511000024 ER -
%0 Journal Article %A OSBA, EMAD ABU %A AL-ADDASI, SALAH %A AL-KHAMAISEH, BASEM %T SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n %J Glasgow mathematical journal %D 2011 %P 391-399 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000024/ %R 10.1017/S0017089511000024 %F 10_1017_S0017089511000024
Cité par Sources :