Results 41 to 50 of about 2,369,458 (297)
Two Remarks on Independent Sets [PDF]
Journal of Algebraic Combinatorics, 1993 Let \(S = k[x_ v,\;v \in V]\) be a polynomial ring over a field \(k\), equipped with a noetherian term order \(
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Statistical mechanics of maximal independent sets [PDF]
Physical Review E, 2009 The graph theoretic concept of maximal independent set arises in several practical problems in computer science as well as in game theory. A maximal independent set is defined by the set of occupied nodes that satisfy some packing and covering constraints.
Dall'Asta, Luca +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar +8 more
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The Hilton-Spencer Cycle Theorems Via Katona’s Shadow Intersection Theorem
Discussiones Mathematicae Graph Theory, 2023 A family 𝒜 of sets is said to be intersecting if every two sets in 𝒜 intersect. An intersecting family is said to be trivial if its sets have a common element.
Borg Peter, Feghali Carl
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Sickle Cell Disease Is an Inherent Risk for Asthma in a Sibling Comparison Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Sickle cell disease (SCD) and asthma share a complex relationship. Although estimates vary, asthma prevalence in children with SCD is believed to be comparable to or higher than the general population. Determining whether SCD confers an increased risk for asthma remains challenging due to overlapping symptoms and the ...
Suhei C. Zuleta De Bernardis +9 more
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On some invariants of finite groups [PDF]
International Journal of Group Theory, 2013 In this note we are going to survey several invariants of finite groups related either to theirorders or to generating sets or to lattices of subgroups. Some relations among these invariants will be exhibited.
Jan Krempa, Agnieszka Stocka
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Maximum Independent Sets in Direct Products of Cycles or Trees with Arbitrary Graphs
Discussiones Mathematicae Graph Theory, 2015 The direct product of graphs G = (V (G),E(G)) and H = (V (H),E(H)) is the graph, denoted as G×H, with vertex set V (G×H) = V (G)×V (H), where vertices (x1, y1) and (x2, y2) are adjacent in G × H if x1x2 ∈ E(G) and y1y2 ∈ E(H). Let n be odd and m even. We
Paj Tjaša, Špacapan Simon
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Stable sets versus independent sets
Discrete Mathematics, 1993 The matroidal number \(m(G)\) of a graph \(G\) is defined as the smallest integer \(m\) so that the collection of the stable sets of \(G\) arises as \(I_ 1\cup I_ 2 \cup \cdots \cup I_ m\) where the \(I_ i\) are collections of independent sets of matroids on the vertex set of \(G\).
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background In Ewing sarcoma (EwS), metastases, including those to bone marrow (BM), are the main factors influencing prognosis. Although reverse transcription polymerase chain reaction (RT‐PCR) offers greater sensitivity, the current EWING protocol defines BM metastases solely using light microscopic detection.
Thanh Pham +13 more
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Some Results on the Independence Polynomial of Unicyclic Graphs
Discussiones Mathematicae Graph Theory, 2018 Let G be a simple graph on n vertices. An independent set in a graph is a set of pairwise non-adjacent vertices. The independence polynomial of G is the polynomial I(G,x)=∑k=0ns(G,k)xk$I(G,x) = \sum\nolimits_{k = 0}^n {s\left({G,k} \right)x^k }$, where s(
Oboudi Mohammad Reza
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