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The pyrogenic mediator prostaglandin E<sub>2</sub> elicits warmth seeking via EP3 receptor-expressing parabrachial neurons: a potential mechanism of chills. [PDF]
J PhysiolYahiro T, Nakamura Y, Nakamura K.
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Prolonged intermittent theta burst stimulation enhances hippocampal plasticity via GluN2A-mediated signaling. [PDF]
Front Aging NeurosciPopovic D +12 more
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Graphs cospectral with distance-regular graphs
, 1993 Haemers, W.H., Spence, E.
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Journal of the London Mathematical Society, 1986
This paper completes the classification of cubic distance-regular graphs. We define the profile and period of certain cycles in such a graph, and obtain congruence conditions on the periods that help determine the feasible intersection arrays. It turns out that there are just 13 possible cases and in each case the array is realised by a unique graph.
Biggs, N.L. +2 more
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This paper completes the classification of cubic distance-regular graphs. We define the profile and period of certain cycles in such a graph, and obtain congruence conditions on the periods that help determine the feasible intersection arrays. It turns out that there are just 13 possible cases and in each case the array is realised by a unique graph.
Biggs, N.L. +2 more
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1978
Inequalities are obtained between the various parameters of a distance-regular graph. In particular, if k1 is the valency and k2 is the number of vertices at distance two from a given vertex, then in general k1 ⩽ k2. For distance-regular graphs of diameter at least four, k1=k2 if and only if the graph is simply a circuit.
D. E. Taylor, Richard Levingston
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Inequalities are obtained between the various parameters of a distance-regular graph. In particular, if k1 is the valency and k2 is the number of vertices at distance two from a given vertex, then in general k1 ⩽ k2. For distance-regular graphs of diameter at least four, k1=k2 if and only if the graph is simply a circuit.
D. E. Taylor, Richard Levingston
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Bipartite distance-regular graphs. II
Graphs and Combinatorics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Eigenpolytopes of Distance Regular Graphs
Canadian Journal of Mathematics, 1998AbstractLet X be a graph with vertex set V and let A be its adjacency matrix. If E is the matrix representing orthogonal projection onto an eigenspace of A with dimension m, then E is positive semi-definite. Hence it is the Gram matrix of a set of |V| vectors in Rm. We call the convex hull of a such a set of vectors an eigenpolytope of X.
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Eigenvectors of Distance-Regular Graphs
SIAM Journal on Matrix Analysis and Applications, 1988The author studies the set of points the coordinates of which are rows of the matrix in which the columns are orthogonal eigenvectors associated to an eigenvalue of the adjacency matrix of a graph. In particular, the second largest eigenvalue \(\alpha\) and distance-regular graphs G are considered.
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