Results 21 to 30 of about 756 (218)
Algorithmic Aspects of Secure Connected Domination in Graphs
Discussiones Mathematicae Graph Theory, 2021 Let G = (V, E) be a simple, undirected and connected graph. A connected dominating set S ⊆ V is a secure connected dominating set of G, if for each u ∈ V \ S, there exists v ∈ S such that (u, v) ∈ E and the set (S \ {v}) ∪ {u} is a connected dominating ...
Kumar Jakkepalli Pavan +1 more
doaj +1 more source
Recognition of chordal graphs and cographs which are Cover-Incomparability graphs [PDF]
Discrete Mathematics & Theoretical Computer ScienceCover-Incomparability graphs (C-I graphs) are an interesting class of graphs from posets. A C-I graph is a graph from a poset $P=(V,\le)$ with vertex set $V$, and the edge-set is the union of edge sets of the cover graph and the incomparability graph of ...
Arun Anil, Manoj Changat
doaj +1 more source
自余弱弦图(On self-complementary weakly chordal graphs)
Zhejiang Daxue xuebao. Lixue ban, 2010 The class of self-complementary (sc) weakly chordal graphs is studied, which is a generalization of self-complementary chordal graphs, lower and upper bounds for the number of two-pairs in sc weakly chordal graphs have been obtained.
MERAJUDDIN() +3 more
doaj +1 more source
Graphs of low chordality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The chordality of a graph with at least one cycle is the length of the longest induced cycle in it. The odd (even) chordality is defined to be the length of the longest induced odd (even) cycle in it. Chordal graphs have chordality at most 3. We show that co-circular-arc graphs and co-circle graphs have even chordality at most 4.
Sunil Chandran +2 more
openaire +5 more sources
Computing a Clique Tree with the Algorithm Maximal Label Search
Algorithms, 2017 The algorithm MLS (Maximal Label Search) is a graph search algorithm that generalizes the algorithms Maximum Cardinality Search (MCS), Lexicographic Breadth-First Search (LexBFS), Lexicographic Depth-First Search (LexDFS) and Maximal Neighborhood Search (
Anne Berry, Geneviève Simonet
doaj +1 more source
Heroes in Orientations of Chordal Graphs
SIAM Journal on Discrete Mathematics, 2022 We characterize all digraphs $H$ such that orientations of chordal graphs with no induced copy of $H$ have bounded dichromatic number.
Pierre Aboulker +2 more
openaire +4 more sources
Finding a Maximum-Weight Convex Set in a Chordal Graph
Journal of Graph Algorithms and Applications, 2019 We consider a natural combinatorial optimization problem on chordal graphs, the class of graphs with no induced cycle of length four or more. A subset of vertices of a chordal graph is (monophonically) convex if it contains the vertices of all chordless
Jean Cardinal +2 more
doaj +1 more source
On chordal graph and line graph squares [PDF]
Discrete Applied Mathematics, 2018 In this work we investigate the chordality of squares and line graph squares of graphs. We prove a sufficient condition for the chordality of squares of graphs not containing induced cycles of length at least five. Moreover, we characterize the chordality of graph squares by forbidden subgraphs.
Robert Scheidweiler +1 more
openaire +2 more sources
Maxclique and Unit Disk Characterizations of Strongly Chordal Graphs
Discussiones Mathematicae Graph Theory, 2014 Maxcliques (maximal complete subgraphs) and unit disks (closed neighborhoods of vertices) sometime play almost interchangeable roles in graph theory. For instance, interchanging them makes two existing characterizations of chordal graphs into two new ...
Caria Pablo De, McKee Terry A.
doaj +1 more source
Complexity of Hamiltonian Cycle Reconfiguration
Algorithms, 2018 The Hamiltonian cycle reconfiguration problem asks, given two Hamiltonian cycles C 0 and C t of a graph G, whether there is a sequence of Hamiltonian cycles C 0 , C 1 , … , C t such that C i can be obtained ...
Asahi Takaoka
doaj +1 more source