Search Results - "Mammoliti, Adam"
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1
Wei-type duality theorems for rank metric codes
Published in Designs, codes, and cryptography (01-08-2020)“…We extend and provide new proofs of the Wei-type duality theorems, due to Ducoat and Ravagnani, for Gabidulin–Roth rank-metric codes and for Delsarte…”
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2
Maximal sets of mutually orthogonal frequency squares
Published in Designs, codes, and cryptography (01-03-2021)“…A frequency square is a square matrix in which each row and column is a permutation of the same multiset of symbols. A frequency square is of type ( n ; λ ) if…”
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3
The $r$-Matching Sequencibility of Complete Graphs
Published in The Electronic journal of combinatorics (12-01-2018)“…Alspach [ Bull. Inst. Combin. Appl., 52 (2008), pp. 7--20] defined the maximal matching sequencibility of a graph $G$, denoted $ms(G)$, to be the largest…”
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4
The cyclic matching sequenceability of regular graphs
Published in Journal of graph theory (01-09-2021)“…The cyclic matching sequenceability of a simple graph G, denoted cms ( G ), is the largest integer s for which there exists a cyclic ordering of the edges of G…”
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5
Exact values for some unbalanced Zarankiewicz numbers
Published in Journal of graph theory (01-05-2024)“…For positive integers s $s$, t $t$, m $m$ and n $n$, the Zarankiewicz number Zs , t(m , n ) ${Z}_{s,t}(m,n)$ is defined to be the maximum number of edges in a…”
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6
Minimising the total number of subsets and supersets
Published in European journal of combinatorics (01-05-2024)“…Let F be a family of subsets of a ground set {1,…,n} with |F|=m, and let F↕ denote the family of all subsets of {1,…,n} that are subsets or supersets of sets…”
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Zarankiewicz numbers near the triple system threshold
Published in Journal of combinatorial designs (01-09-2024)“…For positive integers m $m$ and n $n$, the Zarankiewicz number Z2,2(m,n) ${Z}_{2,2}(m,n)$ can be defined as the maximum total degree of a linear hypergraph…”
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Mutually Orthogonal Binary Frequency Squares
Published in The Electronic journal of combinatorics (10-07-2020)“…A frequency square is a matrix in which each row and column is a permutation of the same multiset of symbols. We consider only binary frequency squares of…”
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Latin squares with maximal partial transversals of many lengths
Published in Journal of combinatorial theory. Series A (01-05-2021)“…A partial transversal T of a Latin square L is a set of entries of L in which each row, column and symbol is represented at most once. A partial transversal is…”
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10
The $r$-matching sequencibility of complete multi-$k$-partite $k$-graphs
Published 10-05-2019“…Alspach [{\sl Bull. Inst. Combin. Appl.}~{\bf 52} (2008), 7--20] defined the maximal matching sequencibility of a graph $G$, denoted~$ms(G)$, to be the largest…”
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11
Intersection theorems for families of matchings of complete $k$-partite $k$-graphs
Published 18-11-2018“…The celebrated Erd\H{o}s-Ko-Rado Theorem and other intersection theorems on families of sets have previously been generalised with respect to families of…”
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12
Zarankiewicz numbers near the triple system threshold
Published 12-07-2024“…J. Combin. Des. (2024), 32, 556-576 For positive integers $m$ and $n$, the Zarankiewicz number $Z_{2,2}(m,n)$ can be defined as the maximum total degree of a…”
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13
Exact values for unbalanced Zarankiewicz numbers
Published 09-04-2024“…J. Graph Theory 106 (2024), 81-109 For positive integers $s$, $t$, $m$ and $n$, the Zarankiewicz number $Z_{s,t}(m,n)$ is defined to be the maximum number of…”
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14
The $r$-matching sequencibility of complete graphs
Published 14-11-2017“…Adam Mammoliti, The r-matching sequencibility of complete graphs, Electron. J. Combin. 25 (2018), Paper 1.6, 23 pp Alspach [ Bull. Inst. Combin. Appl., 52…”
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15
Minimising the total number of subsets and supersets
Published 21-11-2023“…European J. Combin. 118 (2024), 103882, 16 pp Let $\mathcal{F}$ be a family of subsets of a ground set $\{1,\ldots,n\}$ with $|\mathcal{F}|=m$, and let…”
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16
The cyclic matching sequenceability of regular graphs
Published 10-11-2019“…The cyclic matching sequenceability of a simple graph $G$, denoted $\mathrm{cms}(G)$, is the largest integer $s$ for which there exists a cyclic ordering of…”
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17
Canonical labelling of Latin squares in average-case polynomial time
Published 09-02-2024“…A Latin square of order $n$ is an $n\times n$ matrix in which each row and column contains each of $n$ symbols exactly once. For $\epsilon>0$, we show that…”
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18
Balanced diagonals in frequency squares
Published 04-02-2018“…We say that a diagonal in an array is {\em $\lambda$-balanced} if each entry occurs $\lambda$ times. Let $L$ be a frequency square of type $F(n;\lambda^m)$;…”
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19
On Mubayi's Conjecture and conditionally intersecting sets
Published 15-11-2017“…Adam Mammoliti and Thomas Britz. On Mubayi's Conjecture and Conditionally Intersecting Sets. SIAM J. Discrete Math., 32(3): 2361--2380, 2018 Mubayi's…”
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Latin squares with maximal partial transversals of many lengths
Published 09-01-2021“…Journal of Combinatorial Theory, Series A 180 (2021) 105403 A partial transversal $T$ of a Latin square $L$ is a set of entries of $L$ in which each row,…”
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