Results 21 to 30 of about 552 (213)
Discrete Applied Mathematics, 2003 A graph \(G=(V, E)\) is a chordal probe graph if there exists a partition \(V=P\cup N\) with a stable set \(N\) and a completion \(E'\subseteq\{uv : u\not= v\in N\}\) such that the graph \((V, E\cup E')\) is a chordal graph. Chordal probe graphs generalize probe interval graphs introduced by P. Zhang; see also [\textit{F. R. McMorris, C.
Martin Charles Golumbic +1 more
openaire +2 more sources
Discrete Mathematics & Theoretical Computer Science, 2019 Slimness of a graph measures the local deviation of its metric from a tree metric. In a graph $G=(V,E)$, a geodesic triangle $\bigtriangleup(x,y,z)$ with $x, y, z\in V$ is the union $P(x,y) \cup P(x,z) \cup P(y,z)$ of three shortest paths connecting ...
Feodor F. Dragan, Abdulhakeem Mohammed
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
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
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
Minimal toughness in special graph classes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 Let $t$ be a positive real number. A graph is called $t$-tough if the removal of any vertex set $S$ that disconnects the graph leaves at most $|S|/t$ components, and all graphs are considered 0-tough. The toughness of a graph is the largest $t$ for which
Gyula Y. Katona, Kitti Varga
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
On Minimum Maximal Distance-k Matchings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We study the computational complexity of several problems connected with finding a maximal distance-$k$ matching of minimum cardinality or minimum weight in a given graph. We introduce the class of $k$-equimatchable graphs which is an edge analogue of $k$
Yury Kartynnik, Andrew Ryzhikov
doaj +1 more source
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
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