Results 81 to 90 of about 2,909 (193)
On the Hardness of Switching to a Small Number of Edges
ABSTRACT Seidel's switching is a graph operation which makes a given vertex adjacent to precisely those vertices to which it was non‐adjacent before, while keeping the rest of the graph unchanged. Two graphs are called switching‐equivalent if one can be made isomorphic to the other one by a sequence of switches. Jelínková et al. [DMTCS 13, no. 2, 2011]
Vít Jelínek +2 more
wiley +1 more source
Formalizing the transformations of a cognitive universe [PDF]
In an effort to continue the pioneering work of Harary in USA and Flament in France, we have undertaken to develop, on an experimental basis, a formalized theory of systems of beliefs and their modifications.
N. Lafaye de Micheaux +3 more
doaj +1 more source
Machine Learning for Synthetic Organic Chemistry: Methods, Applications, and Best Practices
Artificial intelligence (AI) and machine learning (ML) are increasingly reshaping experimental chemistry. This review maps the challenges of synthetic organic chemistry to modern digital tools that can help address them. While focusing on the practical application of ML tools in real‐world laboratory settings, we outline prerequisites, emerging ...
Niklas Hölter +3 more
wiley +1 more source
Discrete mathematics - second edition
The long-awaited second edition of Norman Bigg's best-selling Discrete Mathematics, includes new chapters on statements and proof, logical framework, natural numbers, and the integers, in addition to updated chapters from the previous edition.
Biggs, Norman
core +5 more sources
On the spectral dimension of random trees [PDF]
We determine the spectral dimensions of a variety of ensembles of infinite trees. Common to the ensembles considered is that sample trees have a distinguished infinite spine at whose vertices branches can be attached according to some probability ...
Bergfinnur Durhuus +2 more
doaj +1 more source
Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c‐colouring of a design is an assignment of colours to its points from a set of c available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source
Enumeration and Random Generation of Concurrent Computations [PDF]
In this paper, we study the shuffle operator on concurrent processes (represented as trees) using analytic combinatorics tools. As a first result, we show that the mean width of shuffle trees is exponentially smaller than the worst case upper-bound.
Olivier Bodini +2 more
doaj +1 more source
On Tight Tree‐Complete Hypergraph Ramsey Numbers
ABSTRACT Chvátal showed that for any tree T with k edges, the Ramsey number R ( T , n ) = k ( n − 1 ) + 1. For r = 3 or 4, we show that, if T is an r‐uniform nontrivial tight tree, then the hypergraph Ramsey number R ( T , n ) = Θ ( n r − 1 ). The 3‐uniform result comes from observing a construction of Cooper and Mubayi.
Jiaxi Nie
wiley +1 more source
Orientations of Graphs With at Most One Directed Path Between Every Pair of Vertices
ABSTRACT Given a graph G, we say that an orientation D of G is a KT orientation if, for all u , v ∈ V ( D ), there is at most one directed path (in any direction) between u and v. Graphs that admit such orientations have been used to construct graphs with large chromatic number and small clique number that served as counterexamples to various ...
Barbora Dohnalová +3 more
wiley +1 more source
Majority Dynamics on Finite Trees
ABSTRACT For an arbitrary finite tree T$$ T $$, we find the exact value of the worst‐case stabilization time of majority dynamics on T$$ T $$. We also prove that for a perfect rooted cubic tree T$$ T $$ with diameter D$$ D $$ and uniformly random initial opinions, the dynamics stabilizes in time τ∈(D/4,D/3)$$ \tau \in \left(D/4,D/3\right) $$ with high ...
Itai Benjamini +2 more
wiley +1 more source

