Bax and Franklin (2002) gave a randomized algorithm for exactly computing the permanent of any n × n zero-one matrix in expected time exp [

The concept of average degree-eccentricity matrix ADE(G) of a connected graph $G$ is introduced. Some coefficients of the characteristic polynomial of ADE(G) are obtained, as well as a bound for the eigenvalues of ADE(G). We also introduce the average degree-eccentricity graph energy and establish bounds for it.

Single-frame circulation aquaculture belongs to the important category of sustainable agriculture development. In light visual-detection problem related survival rate Portunus in single-frame three-dimensional aquaculture, a fusion recognition algorithm based on YOLOV5, RCN (RefineContourNet) image residual bait ratio, centroid moving distance, and rotation angle was put forward. Based three-pa...

In the present article we propose two novel variants of Differential Evolution (DE) namely Centroid Differential Evolution (CDE) and Differential Evolution with local Search (DELS) for solving unconstrained, single objective, optimization problems. Both the algorithms make use of geometric centroid to enhance the performance of basic DE in terms of average fitness function value as well as in t...

Associating documents to relevant categories is critical for effective document retrieval. Here, we compare the well-known k-Nearest Neighborhood (kNN) algorithm, the centroid-based classifier and the Highest Average Similarity over Retrieved Documents (HASRD) algorithm, for effective document categorization. We use various measures such as the micro and macro F1 values to evaluate their perfor...

3D environments provide new possibilities for musical interaction. They allow musicians to manipulate and visualize large sets of sound processes associated to 3D objects by connecting graphical parameters to sound parameters. Several of these audiovisual mappings can be combined on a single 3D object. However, this brings up the issues of the choice of these mappings and of their combinations....

Music is one of the strongest triggers of emotions. Recent studies have shown strong emotional predispositions for musical instrument timbres. They have also shown significant correlations between spectral centroid and many emotions. Our recent study on spectral centroid-equalized tones further suggested that the even/odd harmonic ratio is a salient timbral feature after attack time and brightn...

In the title compound, C(24)H(20)P(2)S(5), the P atoms are arranged trans with respect to the S(3) group and the S=P-S-S systems have cisoid geometry, with an average S-P-S-S torsion angle of -56.7°. The dihedral angles between the two phenyl rings attached to the P atoms are 87.33 (12) and 75.67 (10)°. In the crystal structure, the mol-ecules are linked into chains running parallel to the a ax...

In the title compound, [Hf(C(11)H(10)NO)(4)]·2C(3)H(7)NO, the Hf(IV) atom is coordinated by four N,O-donating bidentate 5,7-dimethyl-8-quinolino-late (Ox(-)) ligands arranged to give a distorted square-anti-prismatic coordination polyhedron. The average Hf-O and Hf-N distances are 2.098 and 2.298 Å, respectively, and the average O-Hf-N bite angle is 70.2°. The crystal packing is controlled by π...