- Combinatorial Theory🔍
- Universal Limit Theorems in Graph Coloring Problems With ...🔍
- TOPICS IN ALGEBRAIC COMBINATORICS🔍
- A Simple Combinatorial Algorithm for de Bruijn Sequences🔍
- combinatorial iterated integrals and the harmonic volume of graphs🔍
- Glossary of graph theory🔍
- On Hamilton cycles in highly symmetric graphs🔍
- David Eppstein🔍
Graph universal cycles of combinatorial objects
Combinatorial Theory - eScholarship
That is, if F is an ordered graph and › ε › 0 , then there exists › δ F ( ε ) › 0 such that every n -vertex ordered graph G containing at most δ F ( ε ) n v ( F ) ...
Universal Limit Theorems in Graph Coloring Problems With ... - CORE
A combinatorial proof of this result and the similarities to results in pseudo-random graphs [15, 17], where the 4-cycle count plays a central role, are.
TOPICS IN ALGEBRAIC COMBINATORICS - MIT Mathematics
A forest is a graph without cycles; thus every connected component is a tree ... universal cycle for Sn, 202 universality (of tensor products), 249 up ...
A Simple Combinatorial Algorithm for de Bruijn Sequences - jstor
(they belong to a larger family of combinatorial objects called universal cycles; see. [1, 2, 6, 8]). 2. GENERATING DE BRUIJN SEQUENCES. There are various ...
combinatorial iterated integrals and the harmonic volume of graphs
A metric graph Γ is equipped with a cycle pairing 〈·, ·〉 on its homology H1(Γ,R) tak- ing a pair of cycles to the signed length of their intersection. In ...
Glossary of graph theory - Wikipedia
I · in-degree: The number of incoming edges in a directed graph; see degree. · incidence: An incidence in a graph is a vertex-edge pair such that the vertex is an ...
On Hamilton cycles in highly symmetric graphs - CEUR-WS
Algorithms that efficiently generate all objects in a combinatorial class such as permutations, ... Universal cycles for permutations.
David Eppstein - Publications - UC Irvine
Many combinatorial structures such as the set of acyclic orientations of a graph, weak orderings of a set of elements, or chambers of a hyperplane ...
The theory of combinatorial maps and its use in the graph ...
a universal set C the elements ... Here and further also in our combinatorial world we find objects analogous to cycles and cuts in graphs.
Sparse Kneser graphs are Hamiltonian - Mütze - 2021
A Gray code thus corresponds to a Hamilton cycle in a graph whose vertices are the combinatorial objects and whose edges connect objects that ...
Universal limit theorems in graph coloring problems with ...
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs.
Combinatorial limits provide an analytic way to represent large discrete objects, and are closely related to the flag algebra method, which led to solving ...
matics whichstudy combinatorial objects possessing some geometric flavor. ... the universal covering of $\triangle$ . Therefore: LEMMA. A connected graph ...
A combinatorial classic - sparse graphs with high chromatic number
(on average) few cycles but still shares some properties of the complete graph, ... In other words, there is no countable universal graph for the class of all ...
Graph Universal Cycles of Combinatorial Objects - شمرا أكاديميا
A connected digraph in which the in-degree of any vertex equals its out-degree is Eulerian; this baseline result is used as the basis of existence proofs ...
Automorphism groups, isomorphism, reconstruction (Chapter 27 of ...
The next problem was to find subclasses of graphs and classes of other (combinatorial, algebraic, topological) objects that are universal.
Hamiltonian decompositions of complete k-uniform hypergraphs
Diaconis and R. L. Graham, Universal cycles for combi- natorial structures, Discrete Math. ... ¨Ostergård, Constructing combinatorial objects via ...
Ever since the 1960's there has been a steady flow of new algorithms for constructing lists of combinatorial objects of various types. There is ...
Combinatorial Approximations for Cluster Deletion: Simpler, Faster, and Better ... A Graph is Worth $K$ Words: Euclideanizing Graph using Pure Transformer ...
Labelled cycle - (Analytic Combinatorics) - Fiveable
Labelled cycles are essential in the study of graph theory and combinatorial structures, as they help illustrate the relationships between vertices and their ...