Signed graphs
WebThe eigenvalues of signed graphs have been widely studied. Signed graphs with two (distinct) eigenvalues have been widely considered in [3, 6, 8, 10, 11]. In this paper, the … Web31 Dec 2008. TL;DR: A characterization of signed graphs S whose signed line graphs L (S) are S-consistent if to each vertex e of L (S), which is all edge of S, one assigns the sign sigma (e) then the resulting marked signed graph (L (S))mu is consistent. Abstract: A signed graph is a graph in which every edge is designated to be either positive ...
Signed graphs
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WebOn composition of signed graphs. All graphs in this article are finite and simple. The objective of this paper is to extend the notion and some results available in unsigned graph theory associated with the lexicographic product of graphs to signed graphs. Moreover we deal with the balance of the lexicographic product of signed graph as the ... WebJan 1, 2024 · Let (G,σ) be a signed graph, where G is the underlying simple graph and σ:E(G) {-,+} is the sign function on the edges of G. Let (Kn,H-) be a signed complete graph whose …
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WebHowever, such equivalence no longer holds for signed graphs. This motivates us to study how to convert modulo flows into integer-valued flows for signed graphs. In this paper, we generalize some early results by Xu and Zhang [ Discrete Math., 299 (2005), pp. 335--343], Schubert and Steffen [ European J. Combin., 48 (2015), pp. 34--47], and Zhu ... diameter and circumference equationWebConcretely, we design two types of graph augmentations specific to signed graphs based on a significant signed social theory, i.e., balance theory. Besides, inter-view and intra-view contrastive learning are proposed to learn discriminative node representations from perspectives of graph augmentations and signed structures respectively. diameter and circumference of a water bottleWeb1 day ago · The quarterback depth chart has returned to three for the New England Patriots. The organization signed free agent Trace McSorley on Thursday, according to the NFL transaction wire. McSorley, 27 ... diameter 1/4 inch nptWebApr 13, 2024 · The Patriots are adding another signal caller to their depth chart. New England announced Thursday that the team signed former Baltimore Ravens and Arizona Cardinals quarterback Trace McSorley to ... diameter abbreviation symbolWebA signed graph is a pair (G, σ), where G is a graph and σ: E (G) → {1, − 1} assigns to each edge e a sign σ e ∈ {1, − 1}. Colouring of signed graphs has been studied in many papers. There are a few different definitions of colouring of signed graphs, all of them are natural generalizations of colouring of (unsigned) graphs. circle cake serving sizeWebMar 1, 2024 · A signed graph is a pair (G, σ) where G is a graph and σ is a function from E (G) to {± 1} which is called a signing. Given a signed graph (G, σ) and a subgraph G ′ ⊆ G, … diameter and area formulaWebFurther, we define signed corona graphs by considering corona product of a fixed small signed graph with itself iteratively, and we call the small graph as the seed graph for the corresponding corona product graphs. Signed corona graphs can be employed as a signed network generative model for large growing signed networks. We study structural ... diameter and radius symbol