Results 61 to 70 of about 168 (119)

Rook-drawings of Plane Graphs

open access: yesJournal of Graph Algorithms and Applications, 2017
We introduce a new type of graph drawing called "rook-drawing". A rook-drawing of a graph $G$ is obtained by placing the $n$ nodes of $G$ on the intersections of a regular grid, such that each row and column of the grid supports exactly one node.
David Auber   +3 more
doaj   +1 more source

A graph and its complement with specified properties I: connectivity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
We investigate the conditions under which both a graph G and its complement G¯ possess a specified property. In particular, we characterize all graphs G for which G and G¯ both (a) have connectivity one, (b) have line-connectivity one, (c) are 2 ...
Jin Akiyama, Frank Harary
doaj   +1 more source

A Survey of Maximal k-Degenerate Graphs and k-Trees

open access: yesTheory and Applications of Graphs
This article surveys results on maximal $k$-degenerate graphs, $k$-trees, and related classes including simple $k$-trees, $k$-paths, maximal outerplanar graphs, and Apollonian networks.
Allan Bickle
doaj   +1 more source

A note on zero-divisor graph of amalgamated duplication of a ring along an ideal

open access: yesAKCE International Journal of Graphs and Combinatorics, 2017
Let be a commutative ring and be a non-zero ideal of . Let be the subring of consisting of the elements for and . In this paper we characterize all isomorphism classes of finite commutative rings with identity and ideal such that is planar.
A. Mallika, R. Kala
doaj   +1 more source

On Separating Path and Tree Systems in Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
We explore the concept of separating systems of vertex sets of graphs. A separating system of a set $X$ is a collection of subsets of $X$ such that for any pair of distinct elements in $X$, there exists a set in the separating system that contains ...
Ahmad Biniaz   +8 more
doaj   +1 more source

Non-Preemptive Tree Packing. [PDF]

open access: yesAlgorithmica, 2023
Lendl S, Woeginger G, Wulf L.
europepmc   +1 more source

Computing and Drawing Isomorphic Subgraphs

open access: yesJournal of Graph Algorithms and Applications, 2004
The isomorphic subgraph problem is finding two disjoint subgraphs of a graph which coincide on at least k edges. The graph is partitioned into a subgraph, its copy, and a remainder.
Sabine Bachl   +2 more
doaj   +1 more source

The complexity of frugal colouring. [PDF]

open access: yesArab J Math, 2021
Bard S, MacGillivray G, Redlin S.
europepmc   +1 more source

Home - About - Disclaimer - Privacy