6 papers
Königsberg Sightseeing: Eulerian Walks in Temporal Graphs
Andrea Marino, Ana Silva
An Eulerian walk (or Eulerian trail) is a walk (resp. trail) that visits every edge of a graph at least (resp. exactly) once. This notion was first discussed by Leonhard Euler…
A Unifying Model for Locally Constrained Spanning Tree Problems
Luiz Alberto do Carmo Viana, Manoel Campêlo, Ignasi Sau +1
Given a graph and a digraph whose vertices are the edges of , we investigate the problem of finding a spanning tree of that satisfies the constraints imposed by .…
Edge-Disjoint Branchings in Temporal Graphs
Victor Campos, Raul Lopes, Andrea Marino +1
A temporal digraph is a triple where is a digraph, is a function on that tells us the timestamps when a vertex is active, and is a functio…
On Orthogonal Vector Edge Coloring
Ana Silva, Allen Ibiapina
Given a graph and a positive integer , an orthogonal vector -coloring of is an assignment of vectors of to in such a way that adjacent verti…
b-continuity and Partial Grundy Coloring of graphs with large girth
Allen Ibiapina, Ana Silva
A b-coloring of a graph is a proper coloring such that each color class has at least one vertex which is adjacent to each other color class. The b-spectrum of is the set $S_{b}…
Circular Backbone Colorings: on matching and tree backbones of planar graphs
Julio Araujo, Fabricio Benevides, Alexandre Cezar +1
Given a graph , and a spanning subgraph of , a circular -backbone -coloring of is a proper -coloring of such that $q\le \lvert c(u)-c(v)\rvert \l…