In this paper we prove that the existence of absolutely continuous spectrum of the Kirchhoff Laplacian on a radial metric tree graph together with a finite complexity of the geometry of the tree implies that the tree is in fact eventually periodic. This complements the results by Breuer and Frank in [3] in the discrete case as well as for sparse trees in the metric case. MSC2010: 34L05, 34L40, ...

endoscopic radial artery harvesting (erah) is a feasible and attractive minimally invasive approach for conduit procurement, however there have been concerns about a potential neurological damage occurring at the harvest limb site secondary to injury of the radial nerve during endoscopic harvesting. we present a case of erah in which we evaluated intraoperatively the characteristics of radial n...

Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a graph with vertex set V , in which two vertices are adjacent if and only if they have a common neighbor in G. In this paper, we obtain characteristics of congraphs under graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product, and Graph join, and relations between Cayley graphs and its c...

The structure of a distribution network has great effects on economy, power supply reliability and investment of a power system. To obtain an optimal topology from possible topologies, we need to solve an optimisation problem which aims to find a radial structure satisfying operating constraints. As a basis of solving this optimisation problem, the encoding scheme, is to represent the candidate...

In this paper, we study a crossing minimization problem in a radial drawing of a graph. Radial drawings have strong application in social network visualization, for example, displaying centrality indices of actors [20]. The main problem of this paper is called the one-sided radial crossing minimization between two concentric circles, named orbits, where the positions of vertices in the outer or...

OBJECTIVE There are many similarities between the photoplethysmography(PPG) pulse wave and the radial pulse when a body is in a stationary state, but the difference between them under conditions of movement is not yet clear. Finding these differences may help further understanding of the cardiovascular system. METHODS PPG and radial pulse wave were recorded simultaneously while subjects were ...

The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we give formula for Merrifield-Simmons and Hosoya indices of some classes of cartesian product of two graphs K{_2}×H, where H is a path graph P{_n}, cyclic graph C{_n}, or star gra...

‎in this paper we give a characterization for all commutative‎ ‎rings with $1$ whose zero-divisor graphs are $c_4$-free.‎

In [12], we treated the Christoffel-Minkowski problem as a convexity problem of a spherical hessian equation on S via Gauss map. In this paper, we study the curvature equations of radial graphs over Sn. Our main concern is the existence of hypersurface with prescribed Weingarten curvature on radial directions. For a compact hypersurface M in Rn+1, the kth Weingarten curvature at x ∈ M is define...

a 56-year-old man with a two year history of chronic stable angina underwent elective coronary artery bypass grafting (cabg) due to angiographic report of three vessel disease and tight stenosis at proximal part of left anterior descending artery (lad). while harvesting of radial artery (ra), the distal half of radial artery was found to bifurcate to two parallel branches with equal size. we us...