The graph crossing number and its variants: A survey

M Schaefer - The electronic journal of combinatorics, 2012 - combinatorics.org
The crossing number is a popular tool in graph drawing and visualization, but there is not
really just one crossing number; there is a large family of crossing number notions of which …

On Criticality and Additivity of the Pseudoachromatic Number Under Join

J Meddaugh, MR Sepanski… - arxiv preprint arxiv …, 2024 - arxiv.org
A vertex coloring of a graph is said to be pseudocomplete if, for any two distinct colors, there
exists at least one edge with those two colors as its end vertices. The pseudoachromatic …

[HTML][HTML] Complete colorings of planar graphs

G Araujo-Pardo, FE Contreras-Mendoza… - Discrete Applied …, 2019 - Elsevier
In this paper, we study the achromatic and the pseudoachromatic numbers of planar and
outerplanar graphs as well as planar graphs of girth 4 and graphs embedded on a surface …

The maximum chromatic number of the disjointness graph of segments on n-point sets in the plane with

JJ García-Davila, J Leaños, M Lomelí-Haro… - Boletín de la Sociedad …, 2024 - Springer
Let P be a finite set of points in general position in the plane. The disjointness graph of
segments D (P) of P is the graph whose vertices are all the closed straight line segments …

[PDF][PDF] Índice cromático para gráficas geométricas completas

C Matias Salvador - 2015 - repositorio.cinvestav.mx
La Teorıa de Gráficas es ampliamente utilizada para modelar algunos problemas
computaciones, tales como: el problema del agente viajero, coloración de mapas, etc. La …

Coloring decompositions of complete geometric graphs

C Huemer, D Lara, C Rubio-Montiel - Acta Mathematica Hungarica, 2019 - Springer
A decomposition of a non-empty simple graph G is a pair G, P such that P is a set of non-
empty induced subgraphs of G, and every edge of G belongs to exactly one subgraph in P …

Achromatic numbers of Kneser graphs

G Araujo-Pardo, JC Díaz-Patiño… - arxiv preprint arxiv …, 2020 - arxiv.org
Complete colorings have the property that any two color classes has at least an edge
between them. Parameters such as the Grundy, achromatic and pseudoachromatic numbers …

[PDF][PDF] Número de Grundy para la gráfica de intersección de triángulos

ABJ Méndez - 2016 - wwwcs.cs.cinvestav.mx
Un triángulo está determinado por tres vértices y tres aristas que unen dichos vértices. La
gráfica de intersección de triángulos es una gráfica definida a partir de un conjunto de …

The achromatic number of Kneser graphs

C Rubio-Montiel, G Araujo-Pardo… - Electronic Notes in …, 2016 - Elsevier
The achromatic number α of a graph is the largest number of colors that can be assigned to
its vertices such that adjacent vertices have different color and every pair of different colors …

[PDF][PDF] Número de Grundy para gráfica de intersección de triángulos

AB Juárez Méndez - 2016 - repositorio.cinvestav.mx
Un triángulo está determinado por tres vértices y tres aristas que unen dichos vértices. La
gráfica de intersección de triángulos es una gráfica definida a partir de un conjunto de …