论文标题
向量有价值的切换在签名图中
Vector Valued Switching in Signed Graphs
论文作者
论文摘要
签名的图是一个图形，边缘标记为正和负面。如果某些周期具有负符号产品，那是不平衡的。我们在签名的图中介绍了向量有价值的开关函数的概念，该函数扩展了切换到更高维度的概念。使用此概念，我们为签名的图定义了平衡维度和强大的平衡维度，该图可用于新的不平衡签名图不平衡程度的分类。我们为平衡和强大的平衡维度提供界限，并为某些签名的图表计算这些维度。
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.
