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Read mapping on de Bruijn graphs. [PDF]
Limasset A +3 more
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Ordering Protein Contact Matrices. [PDF]
Xu C +5 more
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Parameterized Complexity of Eulerian Deletion Problems. [PDF]
Cygan M +4 more
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Sketching Methods with Small Window Guarantee Using Minimum Decycling Sets. [PDF]
Marçais G, DeBlasio D, Kingsford C.
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Eulerian and Hamiltonian Graphs
Universitext, 2000The study of Eulerian graphs was initiated in the 18th century and that of Hamiltonian graphs in the 19th century. These graphs possess rich structures; hence, their study is a very fertile field of research for graph theorists. In this chapter, we present several structure theorems for these graphs.
Joan M. Aldous, Robin J. Wilson
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Eulerian subgraphs in 3-edge-connected graphs and Hamiltonian line graphs
Journal of Graph Theory, 2003AbstractIn this paper, we show that if G is a 3‐edge‐connected graph with $S \subseteq V(G)$ and $|S| \le 12$, then either G has an Eulerian subgraph H such that $S \subseteq V(H)$, or G can be contracted to the Petersen graph in such a way that the preimage of each vertex of the Petersen graph contains at least one vertex in S.
Zhi-Hong Chen, Hong-Jian Lai
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Hamiltonian and Eulerian properties of entire graphs
Lecture Notes in Mathematics, 1972exaly +2 more sources
On Eulerian and Hamiltonian Graphs and Line Graphs
Canadian Mathematical Bulletin, 1965A graph G has a finite set V of points and a set X of lines each of which joins two distinct points (called its end-points), and no two lines join the same pair of points. A graph with one point and no line is trivial. A line is incident with each of its end-points. Two points are adjacent if they are joined by a line.
Harary, Frank +1 more
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Usage of Eulerian and Hamiltonian Graph in Pandemic Situation
Journal of Applied Science and Education (JASE), 2021The existence of Euler and Hamiltonian graph make it easier to solve a real-life problem. During the time of pandemic “Covid-19”, it is very essential for each one of us to be vaccinated. Vaccination is done in the hospitals by using Eulerian and Hamiltonian graphs not only to prevent people from infecting but also to increase the speed of vaccination.
Ambrish Kr. Pandey, Shriya Kanchan
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