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Graceful and Antimagic Labelings

2019
This chapter explores the relationship between antimagic labeling and alpha labelings and also the well-known graceful labelings. Much of this chapter looks at interesting labelings and structures on trees, including edge antimagic trees, alpha trees, and disjoint union of caterpillars.
Martin Bača, Mirka Miller, Joe Ryan, Andrea Semaničová-Feňovčíková   +3 more
openaire   +1 more source

A Metaheuristic Approach to the Graceful Labeling Problem

International Journal of Applied Metaheuristic Computing, 2010
In graph theory, a graceful labeling of a graph G = (V, E) with n vertices and m edges is a labeling of its vertices with distinct integers between 0 and m inclusive, such that each edge is uniquely identified by the absolute difference between its endpoints.
Houra Mahmoudzadeh, Kourosh Eshghi
openaire   +1 more source

Real-graceful labellings: a generalisation of graceful labellings.

Ars Comb., 2011
Every 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.
openaire   +1 more source

Evolving labelings of graceful graphs

Proceedings of the Genetic and Evolutionary Computation Conference, 2022
Luke Branson, Andrew M. Sutton
openaire   +1 more source

On graceful and cordial labeling of shell graphs.

Ars Comb., 2011
A graceful labeling, an \(\alpha \)-labeling (called here \(\Delta \)-labeling), and a cordial labeling of yet another special class of graphs are provided. Unfortunately, the paper contains many typographical, grammatical and stylistic errors.
G. Sethuraman 0001, K. Sankar
openaire   +2 more sources

Odd-even graceful labeling of planar grid and prism graphs

Journal of Information and Optimization Sciences, 2021
Mohamed Basher
exaly  

Edge even graceful labeling of Frn3,Fn,TPn,Wn and Tn

Materials Today: Proceedings, 2023
Pradeep G Bhat
exaly  

Graceful Labelings

2019
Gary Chartrand, Cooroo Egan, Ping Zhang
openaire   +1 more source

Edge Even Graceful Labeling of Polar Grid Graphs

Symmetry, 2019
S N Daoud
exaly  

Graceful labeling of some zero divisor graphs

Electronic Notes in Discrete Mathematics, 2017
Sk Abu Nayeem
exaly