Results 111 to 120 of about 5,057 (262)

Two forbidden induced subgraphs and well-quasi-ordering

open access: yes, 2011
It is known that a class of graphs defined by a single forbidden induced subgraph G is well-quasi-ordered by the induced subgraph relation if and only if G is an induced subgraph of P(4).
Nicholas Korpelainen   +4 more
core   +1 more source

MAXIMISING THE NUMBER OF CONNECTED INDUCED SUBGRAPHS OF UNICYCLIC GRAPHS [PDF]

open access: yes, 2020
Denote by G(n, d, g, k) the set of all connected graphs of order n, having d > 0 cycles, girth g and k pendent vertices. In this paper, we give a partial characterisation of the structure of all maximal graphs in G(n, d, g, k) for the number of connected
Dossou-Olory, Audace Amen Vioutou
core  

DeepSeek‐Lattice‐KG: A Compact Language Model With Knowledge Graph Augmentation for Lattice Structure Design

open access: yesMaterials Genome Engineering Advances, EarlyView.
DeepSeek‐Lattice‐KG integrates a domain‐adapted 14B LLM with a Neo4j lattice knowledge graph distilled from 50,000 papers. It analyzes queries, retrieves supporting subgraphs, and generates grounded answers; on a 2100‐question, six‐domain benchmark, it achieves 94.8% accuracy.
Zhiyang Shu   +6 more
wiley   +1 more source

Discovering frequent induced subgraphs from directed networks

open access: yes, 2018
Directed networks find many applications in computer science, social science and biomedicine, among others. In this paper we propose a new graph mining algorithm that is capable of locating all frequent induced subgraphs in a given set of directed ...
Zhang, Sen   +3 more
core   +1 more source

High Relative Accuracy Computations With Covariance Matrices of Order Statistics

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz   +3 more
wiley   +1 more source

𝒫-Apex Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let 𝒫 be an arbitrary class of graphs that is closed under taking induced subgraphs and let 𝒞 (𝒫) be the family of forbidden subgraphs for 𝒫. We investigate the class 𝒫 (k) consisting of all the graphs G for which the removal of no more than k vertices ...
Borowiecki Mieczysław   +2 more
doaj   +1 more source

Counting five-node subgraphs

open access: yes, 2021
We propose exact count formulae for the 21 topologically distinct non-induced connected subgraphs on five nodes,in simple, unweighted and undirected graphs.
Lawford, Steve
core  

Allocation of Indivisible Items With a Common Preference Graph: Minimizing Total Dissatisfaction

open access: yesNetworks, EarlyView.
ABSTRACT Allocating indivisible items among a set of agents is a frequently studied discrete optimization problem. In the setting considered in this work, the agents' preferences over the items are assumed to be identical. We consider a very recent measure for the overall quality of an allocation which does not rely on numerical valuations of the items.
Nina Chiarelli   +6 more
wiley   +1 more source

On Forbidden Induced Subgraphs for Unit Disk Graphs [PDF]

open access: yes, 2018
A unit disk graph is the intersection graph of disks of equal radii in the plane. The class of unit disk graphs is hereditary, and therefore admits a characterization in terms of minimal forbidden induced subgraphs. In spite of quite active study of unit
Viktor Zamaraev   +3 more
core   +1 more source

CLusterix: A Hybrid Visualization Model for Hierarchically Clustered Networks

open access: yesComputer Graphics Forum, EarlyView.
Abstract We introduce Clusterix, a novel hybrid visualization model for representing hierarchically clustered networks, which also supports directed and weighted edges. Clusterix offers an integrated view of both the network and its full cluster hierarchy by compactly visualizing the cluster inclusion tree enriched with links of the network.
Carla Binucci   +6 more
wiley   +1 more source

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