TY  - JOUR
T1  - A graph  associated  to a commutative  semiring
AU  - Khoramdel, Mehdi
AU  - Atani, Shahabaddin Ebrahimi
AU  - Dolatı Pısh Hesarı, Saboura
AU  - Nıkmard Rostam Alıpour, Mahsa
PY  - 2021
DA  - December
Y2  - 2021
DO  - 10.31801/cfsuasmas.783398
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 984
EP  - 996
VL  - 70
IS  - 2
LA  - en
AB  - Let RR be a commutative finite semiring with nonzero identity and HH be an arbitrary multiplicatively closed subset RR. The generalized identity-summand graph of RR is the (simple) graph GH(R)GH(R) with all elements of RR as the vertices, and two distinct vertices xx and yy are adjacent if and only if x+y∈Hx+y∈H. In this paper, we study some basic properties of GH(R)GH(R). Moreover, we characterize the planarity, chromatic number, clique number and independence number of GH(R)GH(R).
KW  - I-semiring
KW  - planar graphs
KW  - clique number
KW  - chromatic number
KW  - independence number
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https://doi.org/10.4418/2018.73.2.5
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UR  - https://doi.org/10.31801/cfsuasmas.783398
L1  - https://dergipark.org.tr/en/download/article-file/1250622
ER  -