Results 41 to 50 of about 1,399 (173)
Journal of Combinatorial Designs, EarlyView.ABSTRACT Capsets are subsets of F 3 n ${{\mathbb{F}}}_{3}^{n}$ with no three points on a line, and a capset is complete if it is not a subset of a larger capset. We study some new constructions of capsets via algebraic equations over extensions of F 3 ${{\mathbb{F}}}_{3}$.
Cassie Grace, José Felipe Voloch
wiley +1 more source
Random assignment and shortest path problems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We explore a similarity between the $n$ by $n$ random assignment problem and the random shortest path problem on the complete graph on $n+1$ vertices. This similarity is a consequence of the proof of the Parisi formula for the assignment problem given by
Johan Wästlund
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On the Hardness of Switching to a Small Number of Edges
Journal of Graph Theory, EarlyView.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
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Analysis of an algorithm catching elephants on the Internet [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 The paper deals with the problem of catching the elephants in the Internet traffic. The aim is to investigate an algorithm proposed by Azzana based on a multistage Bloom filter, with a refreshment mechanism (called $\textit{shift}$ in the present paper),
Yousra Chabchoub +3 more
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Linear Versus Centred Colouring via Pseudogrids
Journal of Graph Theory, EarlyView.ABSTRACT A centred colouring of a graph is a vertex colouring in which every connected subgraph contains a vertex whose colour is unique and a linear colouring is a vertex colouring in which every (not‐necessarily induced) path contains a vertex whose colour is unique. For a graph G $G$, the centred chromatic number χ cen ( G ) ${\chi }_{\text{cen}}(G)$
Prosenjit Bose +4 more
wiley +1 more source
Mixed Powers of Generating Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Given an integer $m \geq 1$, let $\| \cdot \|$ be a norm in $\mathbb{R}^{m+1}$ and let $\mathbb{S}_+^m$ denote the set of points $\mathbf{d}=(d_0,\ldots,d_m)$ in $\mathbb{R}^{m+1}$ with nonnegative coordinates and such that $\| \mathbf{d} \|=1$. Consider
Manuel Lladser
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Journal of Graph Theory, EarlyView.ABSTRACT In an effort to understand the complexity of the maximum independent set problem, Chvátal introduced t‐perfect graphs. While a full characterization of this class remains open, important progress has been made for claw‐free graphs [Bruhn and Stein, Math. Program. 2012] and P 5 ${P}_{5}$‐free graphs [Bruhn and Fuchs, SIAM J. Discrete Math. 2017]
Yixin Cao, Shenghua Wang
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Extended Rate, more GFUN [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We present a software package that guesses formulas for sequences of, for example, rational numbers or rational functions, given the first few terms.
Martin Rubey
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Tree Independence Number III. Thetas, Prisms and Stars
Journal of Graph Theory, EarlyView.ABSTRACT We prove that for every t ∈ N $t\in {\mathbb{N}}$ there exists τ = τ ( t ) ∈ N $\tau =\tau (t)\in {\mathbb{N}}$ such that every (theta, prism, K 1 , t ${K}_{1,t}$)‐free graph has tree independence number at most τ $\tau $ (where we allow “prisms” to have one path of length zero).
Maria Chudnovsky +2 more
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The first ascent of size $d$ or more in compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 A composition of a positive integer $n$ is a finite sequence of positive integers $a_1, a_2, \ldots, a_k$ such that $a_1+a_2+ \cdots +a_k=n$. Let $d$ be a fixed nonnegative integer.
Charlotte Brennan, Arnold Knopfmacher
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