Results 51 to 60 of about 543,681 (314)
Discrete Mathematics, 1987 AbstractIn an earlier paper [3], we associated to every projective plane X of order n a certain n3-dimensional vector space H(X) over GF(2) and a distinguished subset T of “triangles” in H(X); moreover, the collineation group of X is isomorphic to the subgroup of GL(H(X)) consisting of all nonsingular linear transformations ϕ with ϕ(T) = T.
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On the Line Graph of a Projective Plane [PDF]
Proceedings of the American Mathematical Society, 1963 Abstract : If G is a (finite, undirected) graph, its line graph (also called the interchange graph, and the adjoint graph) is the graph G whose vertices are the edges of G, with two vertices of G adjacent if the corresponding edges of G are adjacent.
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Colouring proximity graphs in the plane
Discrete Mathematics, 1999 AbstractGiven a set V of points in the plane and given d > 0, let G(V, d) denote the graph with vertex set V and with distinct vertices adjacent whenever the Euclidean distance between them is less than d. We are interested in colouring such ‘proximity’ graphs.
McDiarmid, C, Reed, B
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Connectivity of Triangulation Flip Graphs in the Plane
Discrete & Computational Geometry, 2022 AbstractGiven a finite point setPingeneral positionin the plane, afull triangulationofPis a maximal straight-line embedded plane graph on P. Apartial triangulationofPis a full triangulation of some subset$$P'$$P′ofPcontaining all extreme points in P. Abistellar flipon a partial triangulation either flips an edge (callededge flip), removes a non-extreme
Wagner, Uli, Welzl, Emo
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Decompositions of Plane Graphs Under Parity Constrains Given by Faces
Discussiones Mathematicae Graph Theory, 2013 An edge coloring of a plane graph G is facially proper if no two faceadjacent edges of G receive the same color. A facial (facially proper) parity edge coloring of a plane graph G is an (facially proper) edge coloring with the property that, for each ...
Czap Július, Tuza Zsolt
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FoxO1 signaling in B cell malignancies and its therapeutic targeting
FEBS Letters, EarlyView.FoxO1 has context‐specific tumor suppressor or oncogenic character in myeloid and B cell malignancies. This includes tumor‐promoting properties such as stemness maintenance and DNA damage tolerance in acute leukemias, or regulation of cell proliferation and survival, or migration in mature B cell malignancies.
Krystof Hlavac +3 more
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Separability and the genus of a partial dual
, 2012 Partial duality generalizes the fundamental concept of the geometric dual of an embedded graph. A partial dual is obtained by forming the geometric dual with respect to only a subset of edges.
Chmutov +11 more
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The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
A Penrose polynomial for embedded graphs [PDF]
, 2011 We extend the Penrose polynomial, originally defined only for plane graphs, to graphs embedded in arbitrary surfaces. Considering this Penrose polynomial of embedded graphs leads to new identities and relations for the Penrose polynomial which can not be
Aigner +22 more
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Social context prevents heat hormetic effects against mutagens during fish development
FEBS Letters, EarlyView.This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere +5 more
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