Results 31 to 40 of about 946,691 (269)
On the End-Vertex Problem of Graph Searches [PDF]
End vertices of graph searches can exhibit strong structural properties and are crucial for many graph algorithms. The problem of deciding whether a given vertex of a graph is an end-vertex of a particular search was first introduced by Corneil, K\"ohler
Jesse Beisegel +6 more
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自余弱弦图(On self-complementary weakly chordal graphs)
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
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Herzog, Jürgen +2 more
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Recognition of chordal graphs and cographs which are Cover-Incomparability graphs [PDF]
Cover-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
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Algorithmic Aspects of Secure Connected Domination in Graphs
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
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Minimal toughness in special graph classes [PDF]
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
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On Minimum Maximal Distance-k Matchings [PDF]
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
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On some simplicial elimination schemes for chordal graphs [PDF]
We present here some results on particular elimination schemes for chordal graphs, namely we show that for any chordal graph we can construct in linear time a simplicial elimination scheme starting with a pending maximal clique attached via a minimal ...
Habib, Michel, Limouzy, Vincent
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Graphs of low chordality [PDF]
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.
Sunil Chandran +2 more
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Vertex Deletion Problems on Chordal Graphs [PDF]
Containing many classic optimization problems, the family of vertex deletion problems has an important position in algorithm and complexity study. The celebrated result of Lewis and Yannakakis gives a complete dichotomy of their complexity.
Yixin Cao, Yuping Ke, Y. Otachi, Jie You
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