Results 31 to 40 of about 1,353,416 (150)

Improved Bounds for Some Facially Constrained Colorings

open access: yesDiscussiones Mathematicae Graph Theory, 2023
A facial-parity edge-coloring of a 2-edge-connected plane graph is a facially-proper edge-coloring in which every face is incident with zero or an odd number of edges of each color. A facial-parity vertex-coloring of a 2-connected plane graph is a proper
Štorgel Kenny
doaj   +1 more source

Orthogonal Drawings of Plane Graphs Without Bends

open access: yesJournal of Graph Algorithms and Applications, 2003
In an orthogonal drawing of a plane graph each vertex is drawn as a point and each edge is drawn as a sequence of vertical and horizontal line segments. A bend is a point at which the drawing of an edge changes its direction.
Md. Saidur Rahman   +2 more
doaj   +1 more source

Minimum-Area Drawings of Plane 3-Trees

open access: yesJournal of Graph Algorithms and Applications, 2011
A straight-line grid drawing of a plane graph G is a planar drawing of G, where each vertex is drawn at a grid point of an integer grid and each edge is drawn as a straight-line segment.
Debajyoti Mondal   +3 more
doaj   +1 more source

The total face irregularity strength of some plane graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
A face irregular total -labeling of a 2-connected plane graph is a labeling of vertices and edges such that their face-weights are pairwise distinct. The weight of a face under a labeling is the sum of the labels of all vertices and edges surrounding ...
Meilin I. Tilukay   +3 more
doaj   +1 more source

Ideal Graph of a Graph [PDF]

open access: yes, 2011
In this paper, we introduce ideal graph of a graph and study some of its properties. We characterize connectedness, isomorphism of graphs and coloring property of a graph using ideal graph.
Manoharan, R., Vasuki, R.
core   +1 more source

Towards a Maude tool for model checking temporal graph properties [PDF]

open access: yes, 2011
We present our prototypical tool for the verification of graph transformation systems. The major novelty of our tool is that it provides a model checker for temporal graph properties based on counterpart semantics for quantified m-calculi.
Lluch-Lafuente, Alberto   +4 more
core   +1 more source

On the Hamiltonian Number of a Plane Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2019
The Hamiltonian number of a connected graph is the minimum of the lengths of the closed spanning walks in the graph. In 1968, Grinberg published a necessary condition for the existence of a Hamiltonian cycle in a plane graph, formulated in terms of the ...
Lewis Thomas M.
doaj   +1 more source

A graph rewriting programming language for graph drawing [PDF]

open access: yes, 1998
This paper describes Grrr, a prototype visual graph drawing tool. Previously there were no visual languages for programming graph drawing algorithms despite the inherently visual nature of the process.
Rodgers, Peter
core   +1 more source

Surface Embeddability of Graphs via Reductions [PDF]

open access: yes, 2011
On the basis of reductions, polyhedral forms of Jordan axiom on closed curve in the plane are extended to establish characterizations for the surface embeddability of a ...
Liu, Yanpei
core   +1 more source

Decompositions of Plane Graphs Under Parity Constrains Given by Faces

open access: yesDiscussiones Mathematicae Graph Theory, 2013
An edge coloring of a plane graph G is facially proper if no two faceadjacent edges of G receive the same color. A facial (facially proper) parity edge coloring of a plane graph G is an (facially proper) edge coloring with the property that, for each ...
Czap Július, Tuza Zsolt
doaj   +1 more source

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