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Real-graceful labellings: a generalisation of graceful labellings
2011Every graph can be associated to a characteristic exponential equation involving powers of (say) 2, whose unknowns represent vertex labels and whose general solution is equivalent to a graceful labelling of the graph. If we do not require that the solutions be integers, we obtain a generalisation of a graceful labelling that uses real numbers as labels.
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Nearly scale-invariant curvature modes from entropy perturbations during the graceful exit phase
Physical Review D, 2021Anna Ijjas, Roman Kolevatov
exaly
Evolving labelings of graceful graphs
Proceedings of the Genetic and Evolutionary Computation Conference, 2022Luke Branson, Andrew M. Sutton
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MAGNIFICATION AND FRACTION GRACEFUL LABELING
For a (p, q) graph G(V, E) with the labeling set of vertices and edges are A and B respectively. In this paper, the vertex set and edge set of G are labeled by lA and lB respectively, where l ∈ N. We establish the relation between graphs labeled by sets A, B and lA, lB under certain conditions.AJENDRA KUMAR, AJAY KUMAR, NEERAJ GUPTA
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Fuzzy Number Graceful Labeling Graphs
Certain idea about the fuzzy number graceful labeling graph of a fuzzy graph is given and some related concepts of the fuzzy number graceful labeling graph are also discussed.openaire +1 more source
The theory of graceful extensibility: basic rules that govern adaptive systems
Environment Systems and Decisions, 2018David D Woods
exaly