- Using Color Refinement to Boost Enumeration and Counting ...🔍
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- Color Refinement and Its Applications🔍
- Using Color Refinement to Boost Enumeration and Counting for ...🔍
- Color Refinement for Relational Structures🔍
- Isomorphism🔍
- How does naive vertex classification via color refinement induce a ...🔍
- Improving I/O Complexity of Triangle Enumeration🔍
Using Color Refinement to Boost Enumeration and Counting ...
Using Color Refinement to Boost Enumeration and Counting ... - arXiv
We present an index structure, called the color-index, to boost the evaluation of acyclic conjunctive queries (ACQs) over binary schemas.
(PDF) Using Color Refinement to Boost Enumeration and Counting ...
From a theoretical point of view, graph isomorphism testing is a notoriously difficult problem, with no known polynomial-time algorithm. However ...
[PDF] Using Color Refinement to Boost Enumeration and Counting ...
The color-index is the first index structure for evaluating free-connex ACQs that allows efficient enumeration and counting with performance that may be ...
Color Refinement and Its Applications - Semantic Scholar
This chapter introduces the basic color refinement algorithm and explains how it can be implemented in quasilinear time, and discusses variations of this ...
Using Color Refinement to Boost Enumeration and Counting for ...
Using Color Refinement to Boost Enumeration and Counting for Acyclic CQs of Binary Schemas · Cristian Riveros · Benjamin Scheidt · Nicole ...
Color Refinement for Relational Structures - ResearchGate
coloring produced by classical Color Refinement ... Using Color Refinement to Boost. Enumeration and Counting for Acyclic CQs of Binary Schemas.
Isomorphism, Canonization, and Definability for Graphs of Bounded ...
One of the simplest combinatorial procedures to tackle the graph isomorphism problem is the color refinement algorithm. In a nutshell, the basic idea is to ...
Isomorphism, Canonisation, and Definability for Graphs of Bounded ...
Figure 2: The iterations of the Color Refinement algorithm on a path of length 6. Theorem 4. Fixed-point logic with counting FP+C cap- tures polynomial time on ...
How does naive vertex classification via color refinement induce a ...
Color refinement, also known as naive vertex classification or 1-dimensional Weisfeiler-Lehman algorithm, is a combinatorial algorithm that aims ...
Improving I/O Complexity of Triangle Enumeration - Internet ...
us the number to the right, but not counting u's own color ... bipartite graph with a ¼ 1, this yields a factor of n improve- ... approximation (42), as well as its ...
Color Refinement and its Applications - RWTH Aachen University
by counting quantifiers of the form ∃≥ix (“there are at least i ... We adopt color refinement to weighted graphs by refining not by degree, but.
Three tutorial lectures on entropy and counting
The key property of Shannon's entropy that makes it useful as an enumeration tool is that over all random variables that take on at most n values with positive ...
Solution Enumeration Abstraction: A Modeling Idiom to Enhance a ...
Solution enumeration has many uses, e.g., in systematic software testing, model counting, or hardware analysis. We introduce so- lution enumeration abstraction, ...
Efficient algorithms for subgraph counting and enumeration on large ...
of color values used by the coloring procedure. They then obtain a ... with pivot selection to boost the efficiency. We call this ...
(p,q)-biclique counting and enumeration for large sparse bipartite ...
... with a couple of pruning techniques, including common neighbor refinement and search branch early termination, to discard unpromising uncertain ( $$p ...
A generalized implicit enumeration algorithm for graph coloring
On the other hand, the backward step turns out to be much harder to refine. Chriatofides [3] was the first to at- tempt to improve on the backward step.
Graph Isomorphism, Color Refinement, and Compactness?
We note that Grohe [12] established, for each k ≥ 2, the P- completeness of the equivalence problem for first-order k-variable logic with counting quantifiers; ...
A graph G = (V,E) of size n is defined by a finite set of vertices V = {1,... ,n} and a set of edges E ⊂ V × V . We consider only undirected graphs with no self ...
GRAPHICA L ENUMERATION - UCSC Math
enumerator of trees by number of inversions [MR1] and thus ... total number of graphs with p, points of color i, precisely the expression.
Asymptotic enumeration and distributional properties of galled ...
Asymptotically counting dup-trees. As was pointed out in [12], one-component galled networks are in close relationship with leaf-multi-labeled trees (or LML ...