Results 11 to 20 of about 11,556 (115)
A Zero Knowledge Authentication Protocol Based on Novel Heuristic Algorithm of Dense Induced Subgraphs Isomorphism [PDF]
Graphs provide an useful mathematical tool for modeling various real world phenomena. Dense graphs arise in many places of interest, for instance the internet and social networks to name just two. The density of a graph should be a real number reflecting
N. M. G. Al-Saidi +2 more
doaj +1 more source
On the First-Order Complexity of Induced Subgraph Isomorphism [PDF]
Given a graph $F$, let $I(F)$ be the class of graphs containing $F$ as an induced subgraph. Let $W[F]$ denote the minimum $k$ such that $I(F)$ is definable in $k$-variable first-order logic.
Oleg Verbitsky, Maksim Zhukovskii
doaj +1 more source
Between Subgraph Isomorphism and Maximum Common Subgraph [PDF]
When a small pattern graph does not occur inside a larger target graph, we can ask how to find "as much of the pattern as possible" inside the target graph.
Hoffmann, Ruth +2 more
core +1 more source
On Minimal Unique Induced Subgraph Queries
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
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
doaj +1 more source
Towards an Isomorphism Dichotomy for Hereditary Graph Classes [PDF]
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
Some hard families of parameterised counting problems [PDF]
We consider parameterised subgraph-counting problems of the following form: given a graph G, how many k-tuples of its vertices have a given property? A number of such problems are known to be #W[1]-complete; here we substantially generalise some of these
Jerrum, Mark, Meeks, Kitty
core +3 more sources
Quantum Query Complexity of Subgraph Isomorphism and Homomorphism [PDF]
Let $H$ be a fixed graph on $n$ vertices. Let $f_H(G) = 1$ iff the input graph $G$ on $n$ vertices contains $H$ as a (not necessarily induced) subgraph. Let $\alpha_H$ denote the cardinality of a maximum independent set of $H$. In this paper we show: \[
Kulkarni, Raghav, Podder, Supartha
core +2 more sources
Restricted Space Algorithms for Isomorphism on Bounded Treewidth Graphs [PDF]
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

