Search Results - "Martins, Taisa"
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Weak saturation numbers of complete bipartite graphs in the clique
Published in Journal of combinatorial theory. Series A (01-02-2021)“…The notion of weak saturation was introduced by Bollobás in 1968. Let F and H be graphs. A spanning subgraph G⊆F is weakly(F,H)-saturated if it contains no…”
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Short proofs on the structure of general partition, equistable and triangle graphs
Published in Discrete Applied Mathematics (15-11-2021)“…While presenting a combinatorial point of view to the class of equistable graphs, Miklavič and Milanič pointed out the inclusions among the classes of…”
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3
No additional tournaments are quasirandom-forcing
Published in European journal of combinatorics (01-02-2023)“…A tournament H is quasirandom-forcing if the following holds for every sequence (Gn)n∈N of tournaments of growing orders: if the density of H in Gn converges…”
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4
A lower bound for set‐coloring Ramsey numbers
Published in Random structures & algorithms (01-03-2024)“…The set‐coloring Ramsey number Rr,s(k)$$ {R}_{r,s}(k) $$ is defined to be the minimum n$$ n $$ such that if each edge of the complete graph Kn$$ {K}_n $$ is…”
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5
On the Anti-Ramsey Threshold for Non-Balanced Graphs
Published in The Electronic journal of combinatorics (22-03-2024)“…For graphs $G,H$, we write $G \overset{\mathrm{rb}}{\longrightarrow} H $ if for every proper edge-coloring of $G$ there is a rainbow copy of $H$, i.e., a copy…”
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6
The size‐Ramsey number of powers of bounded degree trees
Published in Journal of the London Mathematical Society (01-06-2021)“…Given a positive integer s, the s‐colour size‐Ramsey number of a graph H is the smallest integer m such that there exists a graph G with m edges with the…”
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7
Association between sickle cell disease and the oral health condition of children and adolescents
Published in BMC oral health (20-10-2018)“…Sickle cell disease (SCD) is the most prevalent monogenic hereditary pathology associated with the presence of hemoglobin SS in the world. It can affect…”
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8
No additional tournaments are quasirandom-forcing
Published 20-09-2022“…A tournament H is quasirandom-forcing if the following holds for every sequence (G_n) of tournaments of growing orders: if the density of H in G_n converges to…”
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Journal Article -
9
Structural Results for General Partition, Equistable and Triangle graphs
Published in Electronic notes in discrete mathematics (01-11-2015)“…Miklavič and Milanič (2011) introduced the connections among the classes of equistable, general partition and triangle graphs. We present results concerning…”
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10
Finitely forcible graph limits are universal
Published 13-01-2017“…The theory of graph limits represents large graphs by analytic objects called graphons. Graph limits determined by finitely many graph densities, which are…”
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Theory of combinatorial limits and extremal combinatorics
Published 01-01-2018“…In the past years, techniques from different areas of mathematics have been successfully applied in extremal combinatorics problems. Examples include…”
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Dissertation -
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Weak saturation numbers of complete bipartite graphs in the clique
Published 04-03-2022“…Journal of Combinatorial Theory, Series A. Volume 178, February 2021, 105357 The notion of weak saturation was introduced by Bollob\'as in 1968. Let $F$ and…”
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Journal Article -
13
A lower bound for set-colouring Ramsey numbers
Published 13-12-2022“…The set-colouring Ramsey number $R_{r,s}(k)$ is defined to be the minimum $n$ such that if each edge of the complete graph $K_n$ is assigned a set of $s$…”
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14
On the anti-Ramsey threshold for non-balanced graphs
Published 13-01-2022“…For graphs $G$ and $H$, we write $G \overset{\mathrm{rb}}{\longrightarrow} H $ if any proper edge-coloring of $G$ contains a rainbow copy of $H$, i.e., a copy…”
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15
Decomposing graphs into edges and triangles
Published 06-06-2018“…Combinator. Probab. Comp. 28 (2019) 465-472 We prove the following 30-year old conjecture of Gy\H{o}ri and Tuza: the edges of every $n$-vertex graph $G$ can be…”
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16
The step Sidorenko property and non-norming edge-transitive graphs
Published 14-02-2018“…Sidorenko's Conjecture asserts that every bipartite graph H has the Sidorenko property, i.e., a quasirandom graph minimizes the density of H among all graphs…”
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17
The size-Ramsey number of powers of bounded degree trees
Published 12-07-2019“…Given a positive integer $s$, the $s$-colour size-Ramsey number of a graph $H$ is the smallest integer $m$ such that there exists a graph $G$ with $m$ edges…”
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