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On (a,d)-total edge irregular labelings
Discrete Mathematics, Algorithms and Applications, 2023A total edge irregular [Formula: see text]-labeling of a graph [Formula: see text], [Formula: see text] is a labeling of vertices and edges of [Formula: see text] in such a way that the weights of all edges are distinct. A total edge irregularity strength of graph [Formula: see text], denoted by [Formula: see text] is defined as the minimum [Formula ...
Mitra, Sarbari, Bhoumik, Soumya
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Irregular total labellings of Ladder
16th Int'l Conf. Computer and Information Technology, 2014The total edge irregularity strength tes(G) and total vertex irregularity strength tvs(G) are invariants analogous to irregular strength s(G) of a graph G for total labellings. Baca et al. [Discrete Mathematics, 307: 1378-1388, (2007)] determined the bounds and precise values for some families of graphs concerning these parameters.
K. M. Mominul Haque, Umme Narseen Khanam
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Pyramidal Connected Component Labeling by Irregular Graph Pyramid
2021 5th International Conference on Pattern Recognition and Image Analysis (IPRIA), 2021This paper presents a new logarithmic-time algorithm which simultaneously assigns labels to all connected components of a binary image in parallel. The irregular graph pyramid of an input binary image is constructed based on the optimized combinatorial structure.
Majid Banaeyan, Walter G. Kropatsch
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Edge Irregular Reflexive Labeling for Some Classes of Plane Graphs
Malaysian Journal of Mathematical Sciences, 2022For a graph G, we define a total k-labeling ϕ as a combination of an edge labeling ϕe(x) → {1, 2, . . . , ke} and a vertex labeling ϕv(x) → {0, 2, . . . , 2kv}, such that ϕ(x) = ϕv(x) if x ∈ V (G) and ϕ(x) = ϕe(x) if x ∈ E(G), where k = max {ke, 2kv}. The total k-labeling ϕ is called an edge irregular reflexive k-labeling of G, if for every two edges ...
Yoong, K. K. +3 more
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Irregular Total Labellings of Generalized Petersen Graphs
Theory of Computing Systems, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on Distance Irregular Labeling of Graphs
Ars Combinatoria, 2023Let us consider a~simple connected undirected graph \(G=(V,E)\). For a~graph \(G\) we define a~\(k\)-labeling \(\phi: V(G)\to \{1,2, \dots, k\}\) to be a~distance irregular vertex \(k\)-labeling of the graph \(G\) if for every two different vertices \(u\) and \(v\) of \(G\), one has \(wt(u) \ne wt(v),\) where the weight of a~vertex \(u\) in the ...
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