Results 21 to 30 of about 6,576,413 (265)
Induced subgraph and eigenvalues of some signed graphs
AKCE International Journal of Graphs and Combinatorics, 2022 Hao Huang proved the Sensitivity Conjecture in [Induced graphs of the hypercube and a proof of the Sensitivity Conjecture, Annals of Mathematics, 190 (2019), 949-955] by signed graph spectral method.
Fu-Tao Hu, Mei-Yu Sun
doaj +1 more source
Large Nearly Regular Induced Subgraphs [PDF]
SIAM Journal on Discrete Mathematics, 2008 For a real c \geq 1 and an integer n, let f(n,c) denote the maximum integer f so that every graph on n vertices contains an induced subgraph on at least f vertices in which the maximum degree is at most c times the minimum degree. Thus, in particular, every graph on n vertices contains a regular induced subgraph on at least f(n,1) vertices. The problem
Alon, Noga +2 more
openaire +2 more sources
On Minimal Unique Induced Subgraph Queries
Applied Sciences, 2018 In this paper, a novel type of interesting subgraph query is proposed: Minimal Unique Induced Subgraph (MUIS) query. Given a (large) graph G and a query vertex (position) q in the graph, can we find an induced subgraph containing q with the minimal ...
Lincheng Jiang +6 more
doaj +1 more source
Graphs in which every c edges that form a tree are chords of a common cycle
AKCE International Journal of Graphs and Combinatorics, 2020 Consider the k-connected graphs G in which every edges that form a particular type of induced subgraph must all be chords of a common cycle of G. Extending a few known partial results with and new results exploit the structure of the specified type of ...
Terry A. McKee
doaj +1 more source
Efficient Densest Subgraphs Discovery in Large Dynamic Graphs by Greedy Approximation
IEEE Access, 2023 Densest subgraph detection has become an important primitive in graph mining tasks when analyzing communities and detecting events in a wide range of application domains.
Tao Han
doaj +1 more source
Supervised chemical graph mining improves drug-induced liver injury prediction
iScience, 2023 Summary: Drug-induced liver injury (DILI) is the main cause of drug failure in clinical trials. The characterization of toxic compounds in terms of chemical structure is important because compounds can be metabolized to toxic substances in the liver ...
Sangsoo Lim +5 more
doaj +1 more source
Induced subgraphs of Johnson graphs [PDF]
Involve, a Journal of Mathematics, 2012 12 pages, 4 ...
Naimi, Ramin, Shaw, Jeffrey
openaire +3 more sources
Certifying Induced Subgraphs in Large Graphs
Journal of Graph Algorithms and Applications, 2023 We introduce I/O-efficient certifying algorithms for the recognition of bipartite, split, threshold, bipartite chain, and trivially perfect graphs. When the input graph is a member of the respective class, the certifying algorithm returns a certificate that characterizes this class.Otherwise, it returns a forbidden induced subgraph as a certificate for
Meyer, Ulrich +2 more
openaire +2 more sources
Long Circuits and Large Euler Subgraphs [PDF]
, 2013 An undirected graph is Eulerian if it is connected and all its vertices are of even degree. Similarly, a directed graph is Eulerian, if for each vertex its in-degree is equal to its out-degree.
A. Golovach, Fedor V. Fomin, Petr
core +1 more source
Improving Expressivity of GNNs with Subgraph-specific Factor Embedded Normalization [PDF]
Knowledge Discovery and Data Mining, 2023 Graph Neural Networks~(GNNs) have emerged as a powerful category of learning architecture for handling graph-structured data. However, existing GNNs typically ignore crucial structural characteristics in node-induced subgraphs, which thus limits their ...
Kaixuan Chen +7 more
semanticscholar +1 more source