Title of article
Vector valued switching in signed graphs
Author/Authors
k ، Shahul Hameed Department of Mathematics - K M M Government Women’s College , Mathew ، Albin Department of Mathematics - Central University of Kerala , K A ، Germina Department of Mathematics - Central University of Kerala , Zaslavsky ، Thomas Department of Mathematics and Statistics - Binghamton University (SUNY)
From page
555
To page
565
Abstract
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.
Keywords
Signed graph , vector valued switching , balancing dimension
Journal title
Communications in Combinatorics and Optimization
Journal title
Communications in Combinatorics and Optimization
Record number
2762235
Link To Document