TY  - JOUR
T1  - SIGNED SUM CORDIAL LABELING OF GRAPHS
AU  - Jeyanthi, P.
AU  - Daisy, K. Jeya
AU  - Paulson, P. Princy
PY  - 2025
DA  - October
Y2  - 2025
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 2556
EP  - 2566
VL  - 15
IS  - 10
LA  - en
AB  - The notion of signed product cordial labeling was introduced in 2011 and further studied by several researchers. Inspired by this notion, we define a new concept namely signed sum cordial labeling as follows: A vertex labeling of a graph $G$, $f: V(G) \rightarrow \left\lbrace -1,+1 \right\rbrace $ with induced edge labeling $f^\ast : E(G) \rightarrow \left\lbrace -2,0,+2 \right\rbrace  $ defined by $f^\ast (uv) = f(u) + f(v) $ is signed sum cordial labeling if $ | v_f (-1) - v_f (+1)| \leq 1 $ and $| e_{f^\ast} (i)- e_{f^\ast} (j)| \leq 1 $ for $i,j \in \left\lbrace -2,0,+2 \right\rbrace  $, where $v_f(-1)$ is the number of vertices labeled with -1, $v_f(+1)$ is the number of vertices labeled with +1, $e_{f^\ast}(-2)$ is the number of edges labeled with -2, $e_{f^\ast}(0)$ is the number of edges labeled with 0 and $ e_{f^\ast}(+2)$ is the number of edges labeled with +2. A graph G is signed sum cordial if it admits signed sum cordial labeling. In this paper, we investigate the signed sum cordial behaviour of some standard graphs.
KW  - cordial labeling
KW  - signed cordial labeling
KW  - signed product cordial labeling
KW  - signed sum cordial labeling
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UR  - https://dergipark.org.tr/en/pub/twmsjaem/issue//1795190
L1  - https://dergipark.org.tr/en/download/article-file/5292544
ER  -