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ON DISTANCE IRREGULAR LABELLING OF GRAPHS
Far East Journal of Mathematical Sciences (FJMS), 2017Far East Journal of Mathematical Sciences (FJMS), Volume 102, Number 5, 2017, Pages 919-932 ; Motivated by definition of distance magic labelling, we introduce a new type of irregular labelling whose evaluation is based on the neighbourhood of a vertex.
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On odd-graceful labelings of irregular dragon graphs
2014 IEEE International Conference on Progress in Informatics and Computing, 2014Many recent literature show that labelled graphs can be applied in a wide range of scientific fields, such as coding theory, communication network, logistic and so on. For the purpose of researching complex networks, we define irregular dragon graphs as new network models, and show that irregular dragon graphs admit odd-graceful labellings.
Xinsheng Liu +4 more
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On a conjecture about edge irregular total labelings
Journal of Graph Theory, 2008AbstractAs our main result, we prove that for every multigraph G = (V, E) which has no loops and is of order n, size m, and maximum degree $\Delta < {{{10}}^{-{{3}}}{{m}}\over \sqrt{{{8}}{{n}}}}$ there is a mapping ${{f}}:{{V}}\cup {{E}}\to \big\{{{1}},{{2}},\ldots,\big\lceil{{{m}}+{{2}}\over {{3}}}\big\rceil\big\}$ such that ${{f}}({{u}})+{{f ...
Brandt, Stephan +2 more
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EDGE IRREGULAR REFLEXIVE LABELING ON LOBSTER GRAPH
Journal of Mathematical Sciences and OptimizationLet $G$ be a lobster graph that have three layer of vertices where each layer is connected to each other. The total labeling of the graph is called an edge irregular reflexive $k$-labeling if the total weight of two incident vertices and the edge that joins it is different for all possible edges on the graph.
Verrel Rievaldo Wijaya +1 more
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Irregular scene text detection via attention guided border labeling
Science China Information Sciences, 2019Scene text detection plays an important role inmany computer vision applications. With thehelp of recent deep learning techniques, multi-orientedtext detection that was considered to bequite challenging has been solved to some extent.However, most existing methods still performpoorly for curved text detection, mainly due to thelimitation of their text ...
Jie Chen +4 more
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Irregular Total Labeling of Butterfly and Benes Networks
2011Given a graph G (V, E), a labeling ∂: V ∪ E → {1, 2... k} is called an edge irregular total k − labeling if for every pair of distinct edges uv and xy, ∂ (u) + ∂ (uv) + ∂ (v) ≠ ∂ (x) + ∂ (y) + ∂ (xy). The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of G.
Indra Rajasingh +2 more
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Edge irregular reflexive labeling on shell butterfly graph
AIP Conference ProceedingsDiana Rahmawati, Diari Indriati
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