Micrometrical Measures of the Diameters of Ceres Pallas, and Vesta, made with the 36-inch Refractor of the Lick Observatory [PDF]
E. E. Barnard
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Integral trees of odd diameters [PDF]
A graph is called integral if all eigenvalues of its adjacency matrix consist entirely of integers. Recently, Csikvari proved the existence of integral trees of any even diameter. In the odd case, integral trees have been constructed with diameter at most 7.
arxiv
On super edge-graceful trees of diameter four [PDF]
In "On the super edge graceful trees of even orders," Chung, Lee, Gao, and Schaffer posed the following problem: Characterize trees of diameter 4 which are super edge-graceful. In this paper, we provide super edge-graceful labelings for all caterpillars and even size lobsters of diameter 4 which permit such labelings.
arxiv
The anterior nucleus of the thalamus plays a role in the epileptic network
Abstract Objectives We investigated both the metabolic differences and interictal/ictal discharges of the anterior nucleus of the thalamus (ANT) in patients with epilepsy to clarify the relationship between the ANT and the epileptic network. Methods Nineteen patients with drugāresistant epilepsy who underwent stereoelectroencephalography were studied ...
Hao Yan+9 more
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Rainbow connection of bridgeless outerplanar graphs with small diameters [PDF]
In this paper, we investigate rainbow connection number $rc(G)$ of bridgeless outerplanar graphs $G$ with diameter 2 or 3. We proved the following results: If $G$ has diameter $2,$ then $rc(G)=3$ for fan graphs $F_{n}$ with $n\geq 7$ or $C_5,$ otherwise $rc(G)=2;$ if $G$ has diameter $3,$ then $rc(G)\leq 4$ and the bound is sharp.
arxiv
Structure fault diameter of hypercubes [PDF]
Structure connectivity and substructure connectivity are innovative indicators for assessing network reliability and fault tolerance. Similarly, fault diameter evaluates fault tolerance and transmission delays in networks. This paper extends the concept of fault diameter by introducing two new variants: structure fault diameter and substructure fault ...
arxiv
SCOUTING STUDIES IN A 5.05-INCH DIAMETER REDOX PULSE COLUMN
W.S. Figg, James G. Bradley
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Quantum algorithms and lower bounds for eccentricity, radius, and diameter in undirected graphs [PDF]
The problems of computing eccentricity, radius, and diameter are fundamental to graph theory. These parameters are intrinsically defined based on the distance metric of the graph. In this work, we propose quantum algorithms for the diameter and radius of undirected, weighted graphs in the adjacency list model.
arxiv
Data on Platinum Gauze Used as.a Catalyzer for the Oxidation of Ammonia. Table of Weights and Active Surface of Platinum, Air Space, Etc., Shown for a Unit of One Square Inch of Gauze of a Given Mesh and Diameter of Wire. [PDF]
Alvin Allen Campbell
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