5 citations · 23 across the 13 of their papers we have counts for
8 papers · 1 filter
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…
Boundedness for proper conflict-free and odd colorings
Andrea Jiménez, Kolja Knauer, Carla Negri Lintzmayer +7
The proper conflict-free chromatic number, , of a graph is the least such that has a proper -coloring in which for each non-isolated vertex there is a co…
Biclique immersions in graphs with independence number 2
Fábio Botler, Andrea Jiménez, Carla N. Lintzmayer +3
The analogue of Hadwiger's conjecture for the immersion relation states that every graph contains an immersion of . For graphs with independence number 2, this is equ…
Decomposing split graphs into locally irregular graphs
Carla Negri Lintzmayer, Guilherme Oliveira Mota, Maycon Sambinelli
A graph is locally irregular if any pair of adjacent vertices have distinct degrees. A locally irregular decomposition of a graph is a decomposition of such t…
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…