TY - JOUR
ID - 14570
TI - Vector valued switching in signed graphs
JO - Communications in Combinatorics and Optimization
JA - CCO
LA - en
SN - 2538-2128
AU - Hameed, Shahul K
AU - Mathew, Albin
AU - Germina, K A
AU - Zaslavsky, Thomas
AD - Department of Mathematics, K M M Government Womenâ€™s College, Kannur - 670004, Kerala, India
AD - Department of Mathematics, Central University of Kerala, Kasaragod - 671316, Kerala, India
AD - Department of Mathematics and Statistics, Binghamton University (SUNY), Binghamton, NY
13902-6000, USA
Y1 - 2024
PY - 2024
VL - 9
IS - 3
SP - 555
EP - 565
KW - Signed graph
KW - vector valued switching
KW - balancing dimension
DO - 10.22049/cco.2023.28591.1624
N2 - A signed graph is a graph with edges marked positive and negative; it is unbalanced if some cycle has negative sign product. We introduce the concept of vector valued switching function in signed graphs, which extends the concept of switching to higher dimensions. Using this concept, we define balancing dimension and strong balancing dimension for a signed graph, which can be used for a new classification of degree of imbalance of unbalanced signed graphs. We provide bounds for the balancing and strong balancing dimensions, and calculate these dimensions for some classes of signed graphs.
UR - http://comb-opt.azaruniv.ac.ir/article_14570.html
L1 - http://comb-opt.azaruniv.ac.ir/article_14570_a32562d8b382a20dbf15525d6d96d990.pdf
ER -