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On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
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Hadamard matrices of order 36 and double-even self-dual [72,36,12] codes [PDF]
Before this work, at least 762 inequivalent Hadamard matrices of order 36 were known. We found 7238 Hadamard matrices of order 36 and 522 inequivalent [72,36,12] double-even self-dual codes which are obtained from all 2-(35,17,8) designs with an ...
Iliya Bouyukliev +2 more
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On the enumeration of uniquely reducible double designs [PDF]
A double $2$-$(v,k,2 \lambda)$ design is a design which is reducible into two $2$-$(v,k,\lambda)$ designs. It is called uniquely reducible if it has, up to equivalence, only one reduction.
Veerle Fack +2 more
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Graph Theory and Algorithms for Network Analysis [PDF]
In network analysis, the study and comprehension of complex systems in numerous fields, such as social networks, transportation networks, and biological networks, are made possible by the crucial role played by graph theory and algorithms.
Arul Sharmila Mary +5 more
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Nowadays, geopolitical, extreme weather and other emergencies have exacerbated the global energy crisis, and thus, have increased the urgency of the world’s transition to sustainable energy.
Yuechi Sun +3 more
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Study on Degree of Node Based Personalized Propagation of Neural Predictions forSocial Networks [PDF]
Graph is an important and fundamental data structure that presents in a wide variety of practical scenarios.With the rapid development of the Internet in recent years,there has been a huge increase in social network graph data,and the analysis of this ...
SHAO Yunfei, SONG You, WANG Baohui
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GSO:A GNN-based Deep Learning Computation Graph Substitutions Optimization Framework [PDF]
Deep learning has achieved great success in various practical applications.How to effectively improve the model execution efficiency is one of the important research issues in this field.The existing deep learning frameworks usually model deep learning ...
MIAO Xu-peng, ZHOU Yue, SHAO Ying-xia, CUI Bin
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Convex polyhedra with triangular faces and cone triangulation [PDF]
Considering the problem of the minimal triangulation for a given polyhedra (dividing polyhedra into tetrahedra) it is known that the cone triangulation provides the number of tetrahedra which is the smallest, or the closest to it.
Stojanović Milica, Vučković Milica
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Kinematic Graph for Motion Planning of Robotic Manipulators
We introduce a kinematic graph in this article. A kinematic graph results from structuring the data obtained from the sampling method for sampling-based motion planning algorithms in robotics with the motivation to adapt the method to the positioning ...
Burkhard Corves, Amir Shahidi
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A note on domino treewidth [PDF]
In [DO95], Ding and Oporowski proved that for every k, and d, there exists a constant c_k,d, such that every graph with treewidth at most k and maximum degree at most d has domino treewidth at most c_k,d.
Hans L. Bodlaender
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