Results 21 to 30 of about 16,397 (156)

When Subgraph Isomorphism is Really Hard, and Why This Matters for Graph Databases

open access: yesJournal of Artificial Intelligence Research, 2018
The subgraph isomorphism problem involves deciding whether a copy of a pattern graph occurs inside a larger target graph. The non-induced version allows extra edges in the target, whilst the induced version does not.
Ciaran McCreesh   +3 more
semanticscholar   +1 more source

Restricted Space Algorithms for Isomorphism on Bounded Treewidth Graphs [PDF]

open access: yes, 2010
The Graph Isomorphism problem restricted to graphs of bounded treewidth or bounded tree distance width are known to be solvable in polynomial time [Bod90],[YBFT99].
Das, Bireswar   +2 more
core   +5 more sources

Faster Algorithms for the Maximum Common Subtree Isomorphism Problem [PDF]

open access: yes, 2016
The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in general graphs ...
Droschinsky, Andre   +2 more
core   +2 more sources

Matched Filters for Noisy Induced Subgraph Detection [PDF]

open access: yes, 2018
The problem of finding the vertex correspondence between two noisy graphs with different number of vertices where the smaller graph is still large has many applications in social networks, neuroscience, and computer vision.
Lyzinski, Vince   +3 more
core   +1 more source

Towards an Isomorphism Dichotomy for Hereditary Graph Classes [PDF]

open access: yes, 2014
In this paper we resolve the complexity of the isomorphism problem on all but finitely many of the graph classes characterized by two forbidden induced subgraphs.
Schweitzer, Pascal
core   +3 more sources

Finding Induced Subgraphs via Minimal Triangulations [PDF]

open access: yes, 2009
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulations problems including Minimum Fill-in and Treewidth.
Fomin, Fedor V., Villanger, Yngve
core   +6 more sources

Induced Minor Free Graphs: Isomorphism and Clique-width

open access: yes, 2016
Given two graphs $G$ and $H$, we say that $G$ contains $H$ as an induced minor if a graph isomorphic to $H$ can be obtained from $G$ by a sequence of vertex deletions and edge contractions.
Belmonte, Rémy   +2 more
core   +1 more source

On 2-switches and isomorphism classes [PDF]

open access: yes, 2011
A 2-switch is an edge addition/deletion operation that changes adjacencies in the graph while preserving the degree of each vertex. A well known result states that graphs with the same degree sequence may be changed into each other via sequences of 2 ...
Barrus   +10 more
core   +2 more sources

Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh   +2 more
wiley   +1 more source

On Endomorphism Universality of Sparse Graph Classes

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley   +1 more source

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