|
|
|
|
vector valued switching in signed graphs
|
|
|
|
|
|
|
|
نویسنده
|
k shahul hameed ,mathew albin ,k a germina ,zaslavsky thomas
|
|
منبع
|
communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 3 - صفحه:555 -565
|
|
چکیده
|
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.
|
|
کلیدواژه
|
signed graph ,vector valued switching ,balancing dimension
|
|
آدرس
|
k m m government women’s college, department of mathematics, india, central university of kerala, department of mathematics, india, central university of kerala, department of mathematics, india, binghamton university (suny), department of mathematics and statistics, usa
|
|
پست الکترونیکی
|
zaslav@math.binghamton.edu
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|