5 papers
An 18-colour bound for locally irregular decompositions
Carla Negri Lintzmayer, Guilherme Oliveira Mota, Maycon Sambinelli +1
A graph is locally irregular if adjacent vertices have distinct degrees. A graph G is decomposable if its edge set can be decomposed into locally irregular graphs, and its locally…
Proper conflict-free 7-coloring of planar graphs
A. Jiménez, C. N. Lintzmayer, M. Sambinelli
A proper conflict-free coloring is a proper vertex coloring in which every nonisolated vertex has a color occurring uniquely in its open neighborhood. We prove that every graph wit…
Immersions of large cliques in graphs with independence number 2 and bounded maximum degree
Fábio Botler, Cristina G. Fernandes, Carla N. Lintzmayer +4
An immersion of a graph in a graph is a minimal subgraph of for which there is an injection and a set of edge-disjoint paths $\{P_e:…
A study on token digraphs
Cristina G. Fernandes, Carla N. Lintzmayer, Juan P. Peña +3
For a digraph of order and an integer , the -token digraph of is the graph whose vertices are all -subsets of vertices of and, given two su…
Edge-magic labelings for constellations and armies of caterpillars
Márcia R. Cerioli, Cristina G. Fernandes, Orlando Lee +3
Let be an -vertex graph with edges. A function is an edge-magic labeling of if is bijective and, for some int…