Results 21 to 30 of about 5,057 (262)
Graphs containing finite induced paths of unbounded length [PDF]
The age $\mathcal{A}(G)$ of a graph $G$ (undirected and without loops) is the collection of finite induced subgraphs of $G$, considered up to isomorphy and ordered by embeddability. It is well-quasi-ordered (wqo) for this order if it contains no infinite
Maurice Pouzet, Imed Zaguia
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Dense subgraphs induced by edge labels
Finding densely connected groups of nodes in networks is a widely-used tool for analysis in graph mining. A popular choice for finding such groups is to find subgraphs with a high average degree. While useful, interpreting such subgraphs may be difficult.
Nikolaj Tatti +3 more
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Line graphs of directed graphs I [PDF]
We determine the forbidden induced subgraphs for the intersection of the classes of chordal bipartite graphs and line graphs of acyclic directed graphs. This is a first step towards finding the forbidden induced subgraphs for the class of line graphs of ...
Vaidyanathan Sivaraman, Daniel Slilaty
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On induced subgraphs of the Hamming graph [PDF]
AbstractIn connection with his solution of the Sensitivity Conjecture, Hao Huang (arXiv: 1907.00847, 2019) asked the following question: Given a graph with high symmetry, what can we say about the smallest maximum degree of induced subgraphs of with vertices, where denotes the size of the largest independent set in ?
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Tulgeity of Line, Middle and Total Graph of Wheel Graph Families [PDF]
Tulgeity r(G) is the maximum number of disjoint, point induced, non acyclic subgraphs contained in G. In this paper one finds the tulgeity of line, middle and total graph of wheel graph, Gear graph and Helm ...
Vernold, Vivin +2 more
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Efficient Algorithms for Subgraph Listing
Subgraph isomorphism is a fundamental problem in graph theory. In this paper we focus on listing subgraphs isomorphic to a given pattern graph. First, we look at the algorithm due to Chiba and Nishizeki for listing complete subgraphs of fixed size, and ...
Niklas Zechner, Andrzej Lingas
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On subgraphs without large components [PDF]
We consider, for a positive integer $k$, induced subgraphs in which each component has order at most $k$. Such a subgraph is said to be $k$-divided. We show that finding large induced subgraphs with this property is NP-complete.
Glenn G. Chappell, John Gimbel
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hal A. Kierstead, William T. Trotter
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshimi Egawa +2 more
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Induced Subgraph Saturated Graphs
A graph $G$ is said to be \emph{$H$-saturated} if $G$ contains no subgraph isomorphic to $H$ but the addition of any edge between non-adjacent vertices in $G$ creates one.
Craig Tennenhouse
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