Results 61 to 70 of about 9,538,132 (298)
Applications of the crossing number
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Pach, János, Shahrokhi, F., Szegedy, M.
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An edge in a drawing of a graph is called $\textit{even}$ if it intersects every other edge of the graph an even number of times. Pach and Tóth proved that a graph can always be redrawn such that its even edges are not involved in any intersections.
Michael J. Pelsmajer +2 more
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On the Crossing Numbers of Cartesian Products of Wheels and Trees
Bokal developed an innovative method for finding the crossing numbers of Cartesian product of two arbitrarily large graphs. In this article, the crossing number of the join product of stars and cycles are given.
Klešč Marián +2 more
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Crossing numbers of meshes [PDF]
We prove that the crossing number of the cartesian product of 2 cycles, Cm× Cn, m≤n, is of order Ω(mn), improving the best known lower bound. In particular we show that the crossing number of Cm×Cn is at least mn/90, and for n=m, m+1 we reduce the constant 90 to 6.
Farhad Shahrokhi +3 more
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On the Crossing Numbers of Cartesian Products of Stars and Graphs of Order Six
The crossing number cr(G) of a graph G is the minimal number of crossings over all drawings of G in the plane. According to their special structure, the class of Cartesian products of two graphs is one of few graph classes for which some exact values of ...
Klešč Marián, Schrötter Štefan
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
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Crossing Numbers of Periodic Graphs [PDF]
AbstractA graph is periodic if it can be obtained by joining identical pieces in a cyclic fashion. It is shown that the limit crossing number of a periodic graph is computable. This answers a question of Richter [1, Problem 4.2].
Zdenek Dvorák 0001, Bojan Mohar
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The Crossing Number of Cartesian Product of 5-Wheel with any Tree
In this paper, we establish the crossing number of join product of 5-wheel with n isolated vertices. In addition, the exact values for the crossing numbers of Cartesian products of the wheels of order at most five with any tree T are given.
Wang Yuxi, Huang Yuanqiu
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ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
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