Search Results - "Faria, Luerbio"
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The edge-recoloring cost of monochromatic and properly edge-colored paths and cycles
Published in Theoretical computer science (18-10-2015)“…We introduce a number of problems regarding edge-color modifications in edge-colored graphs and digraphs. Consider a property π, a c-edge-colored graph Gc not…”
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2
An improved upper bound on the crossing number of the hypercube
Published in Journal of graph theory (01-10-2008)“…We draw the n‐dimensional hypercube in the plane with ${5\over 32}4^{n}-\lfloor{{{n}^{2}+1}\over 2}}\rfloor {2}^{n-2}$ crossings, which improves the previous…”
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3
On the probe problem for (r,ℓ)-well-coveredness: Algorithms and complexity
Published in Theoretical computer science (06-10-2022)“…•A graph G=(V,E) is C-probe if V(G) can be partitioned into two sets: non-probesN and probesP, where N is an independent set and new edges may be added between…”
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4
Results about the total chromatic number and the conformability of some families of circulant graphs
Published in Discrete Applied Mathematics (15-12-2023)“…In this paper, we show that with the exception of the graph C12(1,3), which we prove to be Type 2, all members of the following three infinite families of…”
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Partitions and well-coveredness: The graph sandwich problem
Published in Discrete mathematics (01-03-2023)“…A graph G is well-covered if every maximal independent set of G is maximum. A (k,ℓ)-partition of a graph G is a partition of its vertex set into k independent…”
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On complexities of minus domination
Published in Discrete optimization (01-11-2016)“…A function f:V→{−1,0,1} is a minus-domination function of a graph G=(V,E) if the values over the vertices in each closed neighborhood sum to a positive number…”
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7
Parameterized Complexity Dichotomy for (r, ℓ)-Vertex Deletion
Published in Theory of computing systems (01-10-2017)“…For two integers r , ℓ ≥ 0, a graph G = ( V , E ) is an ( r , ℓ )-graph if V can be partitioned into r independent sets and ℓ cliques. In the parameterized ( r…”
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Chordal-(2,1) graph sandwich problem with boundary conditions
Published in Electronic notes in discrete mathematics (01-08-2018)“…In this work, we consider the graph sandwich problem for a property Π, a decision problem proposed by Golumbic, Kaplan, and Shamir as follows: given two graphs…”
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Optimizing concurrency under Scheduling by Edge Reversal
Published in Networks (01-06-2021)“…Scheduling by Edge Reversal provides an order of operation for nodes in a graph, but maximizing or minimizing the resulting concurrency is hard. In this paper,…”
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10
Improved kernels for Signed Max Cut parameterized above lower bound on (r,l)-graphs
Published in Discrete mathematics and theoretical computer science (01-01-2017)“…A graph GG is signed if each edge is assigned ++ or −−. A signed graph is balanced if there is a bipartition of its vertex set such that an edge has sign −− if…”
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Preface: LAGOS’13: Seventh Latin-American Algorithms, Graphs, and Optimization Symposium, Playa del Carmen, México — 2013
Published in Discrete Applied Mathematics (10-09-2016)Get full text
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12
Chordal- (k,ℓ)and strongly chordal- (k,ℓ)graph sandwich problems
Published in Journal of the Brazilian Computer Society (11-09-2014)“…Background In this work, we consider the graph sandwich decision problem for property Π , introduced by Golumbic, Kaplan and Shamir: given two graphs G 1 =( V…”
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13
Forbidden subgraphs and the König–Egerváry property
Published in Discrete Applied Mathematics (01-11-2013)“…The matching number of a graph is the maximum size of a set of vertex-disjoint edges. The transversal number is the minimum number of vertices needed to meet…”
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14
Maximum Cuts in Edge-colored Graphs
Published in Electronic notes in discrete mathematics (01-11-2017)“…The input of the Maximum Colored Cut problem consists of a graph G=(V,E) with an edge-coloring c:E→{1,2,3,…,p} and a positive integer k>0, and the question is…”
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15
Improved kernels for Signed Max Cut parameterized above lower bound on (r,l)-graphs
Published in Discrete mathematics and theoretical computer science (01-06-2017)“…A graph $G$ is signed if each edge is assigned $+$ or $-$. A signed graph is balanced if there is a bipartition of its vertex set such that an edge has sign…”
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16
Split clique graph complexity
Published in Theoretical computer science (30-09-2013)“…A complete set of a graph G is a subset of vertices inducing a complete subgraph. A clique is a maximal complete set. Denote by C(G) the clique family of G…”
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17
The (k,ℓ) unpartitioned probe problem NP-complete versus polynomial dichotomy
Published in Information processing letters (01-04-2016)“…A graph G=(V,E) is Cprobe if V can be partitioned into two sets, probes P and non-probes N, where N is independent and new edges may be added between…”
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The Same Upper Bound for Both: The 2-page and the Rectilinear Crossing Numbers of the n-Cube
Published in Journal of graph theory (01-09-2016)“…We present two main results: a 2‐page and a rectilinear drawing of the n‐dimensional cube Qn. Both drawings have the same number 1257684n−2n−33(3n2+9+(−1)n+12)…”
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19
Oriented coloring in planar, bipartite, bounded degree 3 acyclic oriented graphs
Published in Electronic notes in discrete mathematics (05-11-2013)“…An oriented k-coloring of an oriented graph G→=(V,E→) is a partition of V into k subsets such that there are no two adjacent vertices belonging to the same…”
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On defensive alliances and strong global offensive alliances
Published in Discrete Applied Mathematics (30-01-2014)“…We consider complexity issues and upper bounds for defensive alliances and strong global offensive alliances in graphs. We prove that it is NP-complete to…”
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