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Random plane increasing trees: Asymptotic enumeration of vertices by distance from leaves 随机平面递增树:根据离叶子的距离对顶点进行渐近枚举
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-12-28 DOI: 10.1002/rsa.21138
M. Bóna, B. Pittel
We prove that for any fixed k$$ k $$ , the probability that a random vertex of a random increasing plane tree is of rank k$$ k $$ , that is, the probability that a random vertex is at distance k$$ k $$ from the leaves, converges to a constant ck$$ {c}_k $$ as the size n$$ n $$ of the tree goes to infinity. We prove that 1−∑j≤kck<22k+3(2k+4)!$$ 1-{sum}_{jle k}{c}_k
我们证明了对于任意固定的k $$ k $$,一个随机增长的平面树的随机顶点的秩为k $$ k $$的概率,也就是说,一个随机顶点离叶子的距离为k $$ k $$的概率,随着树的大小n $$ n $$趋近于无穷大,收敛于一个常数ck $$ {c}_k $$。证明了1−∑j≤kck<22k+3(2k+4)!$$ 1-{sum}_{jle k}{c}_k
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引用次数: 0
1‐independent percolation on ℤ2×Kn 1‐独立的渗流作用在0 2×Kn上
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-12-21 DOI: 10.1002/rsa.21129
Victor Falgas‐Ravry, Vincent Pfenninger
A random graph model on a host graph H$$ H $$ is said to be 1‐independent if for every pair of vertex‐disjoint subsets A,B$$ A,B $$ of E(H)$$ E(H) $$ , the state of edges (absent or present) in A$$ A $$ is independent of the state of edges in B$$ B $$ . For an infinite connected graph H$$ H $$ , the 1‐independent critical percolation probability p1,c(H)$$ {p}_{1,c}(H) $$ is the infimum of the p∈[0,1]$$ pin left[0,1right] $$ such that every 1‐independent random graph model on H$$ H $$ in which each edge is present with probability at least p$$ p $$ almost surely contains an infinite connected component. Balister and Bollobás observed in 2012 that p1,c(ℤd)$$ {p}_{1,c}left({mathbb{Z}}^dright) $$ tends to a limit in [12,1]$$ left[frac{1}{2},1right] $$ as d→∞$$ dto infty $$ , and they asked for the value of this limit. We make progress on a related problem by showing that limn→∞p1,c(ℤ2×Kn)=4−23=0.5358….$$ underset{nto infty }{lim }{p}_{1,c}left({mathbb{Z}}^2times {K}_nright)=4-2sqrt{3}=0.5358dots . $$In fact, we show that the equality above remains true if the sequence of complete graphs Kn$$ {K}_n $$ is replaced by a sequence of weakly pseudorandom graphs on n$$ n $$ vertices with average degree ω(logn)$$ omega left(log nright) $$ . We conjecture the answer to Balister and Bollobás's question is also 4−23$$ 4-2sqrt{3} $$ .
如果对于E(H) $$ E(H) $$的每一对顶点不相交的子集A,B $$ A,B $$, A $$ A $$中的边的状态(不存在或存在)与B $$ B $$中的边的状态无关,则表示主机图H $$ H $$上的随机图模型是1独立的。对于无限连通图H $$ H $$,1独立的临界渗透概率p1,c(H) $$ {p}_{1,c}(H) $$是p∈[0,1]$$ pin left[0,1right] $$的下限值,使得H $$ H $$上每条边至少以p $$ p $$的概率出现的每一个1独立随机图模型几乎肯定包含一个无限连通分量。Balister和Bollobás在2012年观察到,当d→∞$$ dto infty $$时,p1,c(lgd) $$ {p}_{1,c}left({mathbb{Z}}^dright) $$趋向于[12,1]$$ left[frac{1}{2},1right] $$中的一个极限,他们要求这个极限的值。通过证明limn→∞p1,c(0 2×Kn)=4−23=0.5358....,我们在一个相关问题上取得了进展$$ underset{nto infty }{lim }{p}_{1,c}left({mathbb{Z}}^2times {K}_nright)=4-2sqrt{3}=0.5358dots . $$事实上,我们证明了如果完全图序列Kn $$ {K}_n $$被n个$$ n $$顶点上的平均度为ω(logn) $$ omega left(log nright) $$的弱伪随机图序列所取代,上面的等式仍然成立。我们推测Balister和Bollobás的问题的答案也是4−23 $$ 4-2sqrt{3} $$。
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引用次数: 3
Iterated tour partitioning for Euclidean capacitated vehicle routing 欧几里得容量车辆路径的迭代巡回划分
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-12-21 DOI: 10.1002/rsa.21130
Claire Mathieu, Hang Zhou
We give a probabilistic analysis of the unit‐demand Euclidean capacitated vehicle routing problem in the random setting. The objective is to visit all customers using a set of routes of minimum total length, such that each route visits at most k$$ k $$ customers. The best known polynomial‐time approximation is the iterated tour partitioning (ITP) algorithm, introduced in 1985 by Haimovich and Rinnooy Kan. They showed that the solution obtained by the ITP algorithm is arbitrarily close to the optimum when k$$ k $$ is either o(n)$$ oleft(sqrt{n}right) $$ or ω(n)$$ omega left(sqrt{n}right) $$ , and they asked whether the ITP algorithm was “also effective in the intermediate range”. In this work, we show that the ITP algorithm is at best a (1+c0)$$ left(1+{c}_0right) $$ ‐approximation, for some positive constant c0$$ {c}_0 $$ , and is at worst a 1.915‐approximation.
本文对随机环境下的单位需求欧几里得有能力车辆路径问题进行了概率分析。目标是使用一组总长度最小的路线访问所有客户,使得每条路线最多访问k个$$ k $$客户。最著名的多项式时间近似是迭代巡回划分(ITP)算法,由Haimovich和rinoy Kan于1985年提出。他们表明,当k $$ k $$为o(n) $$ oleft(sqrt{n}right) $$或ω(n) $$ omega left(sqrt{n}right) $$时,ITP算法得到的解任意接近最优,并询问ITP算法是否“在中间范围内也有效”。在这项工作中,我们证明了ITP算法最多是(1+c0) $$ left(1+{c}_0right) $$‐近似值,对于某些正常数c0 $$ {c}_0 $$,最坏是1.915‐近似值。
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引用次数: 1
Perfect sampling from spatial mixing. 完美的空间混合采样
IF 0.9 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-12-01 Epub Date: 2022-02-18 DOI: 10.1002/rsa.21079
Weiming Feng, Heng Guo, Yitong Yin

We introduce a new perfect sampling technique that can be applied to general Gibbs distributions and runs in linear time if the correlation decays faster than the neighborhood growth. In particular, in graphs with subexponential neighborhood growth like d , our algorithm achieves linear running time as long as Gibbs sampling is rapidly mixing. As concrete applications, we obtain the currently best perfect samplers for colorings and for monomer-dimer models in such graphs.

我们引入了一种新的完美采样技术,它可以应用于一般的吉布斯分布,而且如果相关性的衰减速度快于邻域增长速度,运行时间也是线性的。特别是在ℤ d 这样具有亚指数邻域增长的图中,只要吉布斯采样快速混合,我们的算法就能实现线性运行时间。在具体应用中,我们得到了目前在这类图中用于着色和单体-二聚体模型的最佳完美采样器。
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引用次数: 0
Mobile Commerce untuk Sales Order dan Tracking Order berbasis MVC 移动商务untuk销售订单和跟踪订单基于MVC
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-11-25 DOI: 10.31253/algor.v4i1.1748
Andi Leo, Verri Kuswanto, Lily Damayanti
Internet has become one of the important needs in everyday life. Internet access is very easy with various types of devices, one of which is mobile. This opens up opportunities for business people to serve customers in carrying out mobile-based transactions or what is called m-commerce. M-Commerce provides new innovations in the business world with the convenience it offers, making it used for new business breakthroughs, one of which is delivery service as a service that pampers buyers so they don't have to wait for goods or services ordered for days. This M-Commerce application for purchasing products or ordering services is built using the angularJS method based on the Model View Controller (MVC). This makes the software development cycle more streamlined and easy. This application provides easy service to m-commerce users because of the addition of delivery service, it is also expected to increase the purchase of goods or services on a regular basis. The conveniences obtained from this application are in the form of ordering goods which will then be delivered by the courier, tracking the courier's position while in the process of ordering, selecting products and services that are easier for users to see and viewing transactions and user history, on a mobile basis.
互联网已经成为人们日常生活中的重要需求之一。使用各种类型的设备访问互联网非常容易,其中之一是移动设备。这为商业人士提供了服务客户的机会,他们可以进行基于移动设备的交易,也就是所谓的移动商务。移动商务为商业世界提供了新的创新和便利,使其用于新的商业突破,其中之一是送货服务,作为一种服务,让买家不必等待订购的商品或服务数天。这个用于购买产品或订购服务的移动商务应用程序是使用基于模型-视图-控制器(MVC)的angularJS方法构建的。这使得软件开发周期更加简化和容易。该应用程序为移动商务用户提供了便捷的服务,因为增加了送货服务,也有望增加定期购买的商品或服务。从本应用程序中获得的便利形式是订购商品,然后由快递员交付,在订购过程中跟踪快递员的位置,选择用户更容易看到的产品和服务,并在移动基础上查看交易和用户历史记录。
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引用次数: 0
Hypergraph Ramsey numbers of cliques versus stars 拉姆齐超图中派系与恒星的关系
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-10-07 DOI: 10.1002/rsa.21155
D. Conlon, J. Fox, Xiaoyu He, D. Mubayi, Andrew Suk, Jacques Verstraëte
Let Km(3)$$ {K}_m^{(3)} $$ denote the complete 3‐uniform hypergraph on m$$ m $$ vertices and Sn(3)$$ {S}_n^{(3)} $$ the 3‐uniform hypergraph on n+1$$ n+1 $$ vertices consisting of all n2$$ left(genfrac{}{}{0ex}{}{n}{2}right) $$ edges incident to a given vertex. Whereas many hypergraph Ramsey numbers grow either at most polynomially or at least exponentially, we show that the off‐diagonal Ramsey number r(K4(3),Sn(3))$$ rleft({K}_4^{(3)},{S}_n^{(3)}right) $$ exhibits an unusual intermediate growth rate, namely, 2clog2n≤r(K4(3),Sn(3))≤2c′n2/3logn,$$ {2}^{clog^2n}le rleft({K}_4^{(3)},{S}_n^{(3)}right)le {2}^{c^{prime }{n}^{2/3}log n}, $$for some positive constants c$$ c $$ and c′$$ {c}^{prime } $$ . The proof of these bounds brings in a novel Ramsey problem on grid graphs which may be of independent interest: what is the minimum N$$ N $$ such that any 2‐edge‐coloring of the Cartesian product KN□KN$$ {K}_Nsquare {K}_N $$ contains either a red rectangle or a blue Kn$$ {K}_n $$ ?
设Km(3)$$ {K}_m^{(3)} $$ 表示m上的完全3‐均匀超图$$ m $$ 顶点和Sn(3)$$ {S}_n^{(3)} $$ n+1上的3‐均匀超图$$ n+1 $$ 由n2个顶点组成$$ left(genfrac{}{}{0ex}{}{n}{2}right) $$ 关联到给定顶点的边。然而许多超图Ramsey数要么以多项式增长,要么以指数增长,我们证明了非对角线Ramsey数r(K4(3),Sn(3))$$ rleft({K}_4^{(3)},{S}_n^{(3)}right) $$ 表现出不寻常的中间生长速率,即2clog2n≤r(K4(3),Sn(3))≤2c 'n2/3logn;$$ {2}^{clog^2n}le rleft({K}_4^{(3)},{S}_n^{(3)}right)le {2}^{c^{prime }{n}^{2/3}log n}, $$对于某个正常数c$$ c $$ c '$$ {c}^{prime } $$ . 这些界限的证明带来了网格图上一个新的Ramsey问题,这可能是一个独立的兴趣:最小N是什么$$ N $$ 使得笛卡尔积的任意2边着色KN□KN$$ {K}_Nsquare {K}_N $$ 包含红色矩形或蓝色Kn$$ {K}_n $$ ?
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引用次数: 2
Sistem Informasi Perkembangan Desa Sridadi Kec. Wonosoboh Kab. Tanggamus
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-09-15 DOI: 10.31253/algor.v4i1.1850
Satria Abadi, Lisna Sari
Sistem pemerintahan dan pelayanan publik yang bersih, transparan, merupakan tantangan yang harus dijawab oleh lembaga pemerintahan dalam menjalankan fungsinya. Dengan semangat itulah Kabupaten Tanggamus akan membangun infarstruktur jaringan online sampai ke tingkat desa. Dengan sarana infrastruktur yang telah tersedia dan permasalahan administrasi dan potensi desa yang perlu mendapatkan perhatian serius, mendorong penulis untuk memamfaatkan infrastruktur yang ada dengan mengisi konten / membangun aplikasi yang bersifat e-Government. Seringnya permintaan data tentang perangkat desa dan potensi desa oleh para pimpinan instansi pemerintahan yang lebih tinggi, yang dilakukan secara manual tidak menutup kemungkinan data-data yang disampaikan kurang akurat ataupun kurang cepat, lagipula adanya potensi-potensi desa yang belum optimal serta terjadinya perubahan data-data di desa perlu mendapatkan perhatian yang serius semua pihak. Penulis melakukan penelitian dengan membangun aplikasi yang bertema “Analisa Perancangan Sistem Informasi Perkembangan Desa Sridadi Kecamatan Wonosobo  di Pemerintah Kabupaten Tanggamus”. Pengembangan sistem dilakukan berdasarkan pendekatan metode System Development Life Cycle (SDLC) yang meliputi tahapan-tahapan perencanaan, analisis, desain, dan implementasi sistem. Metode pengumpulan data dilakukan dengan cara observasi,wawancara dan studi Pustaka, Sistem informasi yang akan penulis bangun berbasis web dengan bahasa pemprograman PHP, aplikasi dan database terpusat di server dan dapat diakses langsung dari desa.
政府和公共服务系统的清洁、透明,是政府机构在履行其职责时必须应对的挑战。正是这种精神,摄政部将在村庄水平上建立一个在线网络的内部结构。由于现有的基础设施设施以及需要认真关注的管理和潜在的村庄问题,鼓励作者通过填写内容/构建电子治理应用程序来巩固现有的基础设施。多次请求数据的设备村庄和村庄的潜力更高的政府机构领导人手动完成的,不排除不准确或传递的数据还不够快,毕竟还没有最佳的potensi-potensi村庄和村里的变化数据需要得到认真的各方的关注。作者通过开发应用程序进行研究,该应用程序的主题是“埃米斯摄政区Sridadi街道更新信息系统设计分析”。系统开发是基于系统开发生命周期的方法,包括计划、分析、设计和系统实现的各个阶段。数据收集方法是通过观察、采访和库研究来实现的。库是一种以PHP编写程序的语言为基础的信息系统。
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引用次数: 0
Implementasi Speech Recognition untuk Asisten Virtual dengan Python
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-09-15 DOI: 10.31253/algor.v4i1.1545
Y. Setyawan, Yo Ceng Giap
Cara berkomunikasi yang paling umum digunakan oleh manusia adalah suara atau ucapan. Banyak eksperimen yang dilakukan di aspek pemrosesan suara untuk menciptakan model mekanis yang mensimulasikan bagaimana cara manusia berkomunikasi secara verbal. Teknologi pengenalan suara bertujuan untuk mengembangkan sistem dan teknik tentang bagaimana mengenalkan perintah berbentuk suara agar dapat dimengerti oleh mesin, sehingga mesin mampu menjalankan perintah yang diberikan. Penelitian ini menggunakan teknologi pengenalan suara untuk diimplemetasikan ke aplikasi asisten virtual pribadi berbasiskan desktop dengan tujuan membantu menyederhanakan tugas sehari-hari melalui komputer. Hasil penelitian ini menghasilkan sebuah aplikasi pengenalan suara (speech recognition) untuk menjalankan tugas umum tertentu di desktop dan menyalakan perangkat elektronik. Dari pengujian yang sudah dilakukan, aplikasi dapat mengenali perintah suara untuk menjalankan perintah yang diberikan dan dapat menyalakan ataupun mematikan perangkat listrik seperti yang diharapkan.
人类最常用的交流方式是声音或语言。在声音处理方面进行的许多实验中,创造了模拟人类语言交流方式的机械模型。语音识别技术的目的是开发一种系统和技术,即如何引入语音命令,使机器能够执行命令。本研究采用语音识别技术将其植入基于桌面的个人虚拟助理应用程序,目的是通过计算机简化日常工作。这项研究的结果导致语音识别应用程序(speech recognition)在桌面上执行某些一般任务并打开电子设备。从已经进行的测试中,应用程序可以识别声音命令来执行所给出的命令,并可以像预期的那样打开或关闭电器。
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引用次数: 0
APLIKASI KLASIFIKASI KEPRIBADIAN MANUSIA MENGGUNAKAN ALGORITMA TREE DECISION (C4.5) BERBASIS WEB 人类人格分类应用程序使用基于WEB的TREE DECISION算法(C4.5)
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-09-15 DOI: 10.31253/algor.v4i1.1744
Kent Christopher, Desiyanna Lasut, L. Kusuma
Dalam kehidupan sehari hari setiap manusia memiliki sifat dan kepribadian yang unik dan berbeda setiap orangnya. Daripada itu, sangatlah penting untuk mengetahui kepribadian kita sejak usia dini. Kebutuhan akan layanan informasi sangat tinggi dan memprediksi karakter manusia dapat dilakukan secara manual, namun aplikasi yang menggunakan metode data mining dapat menyederhanakan proses prediksi karakter manusia, sehingga tidak memerlukan waktu pemrosesan terlalu lama. Saat ini masih banyak orang yang tidak mengetahui apa kepribadian mereka, Pembuatan aplikasi ini dimaksud untuk memudahkah orang dalam menemukan kepribadian dalam diri sehingga bisa mengetahui apa potensi , kelebihan dan kekurangan yang di miliki. Algoritma C4.5 memiliki model prediktif dengan akurasi dan memiliki kemampuan untuk pengambilan keputusan yang rumit diubah jadi lebih mudah, sehingga pemilihan keputusan akan lebih tepat, Sehingga algoritma C4.5 dapat mengklasifikasikan kepribadian yang di miliki oleh orang orang. Tujuan dari aplikasi ini adalah Membantu seseorang dalam mengetahui jenis kepribadian yang di miliki.
在日常生活中,每个人都有自己独特的品质和个性,每个人都不一样。与其这样,不如在很小的时候就认识我们自己。信息服务的需求和对人类性格的预测可以手动完成,但是使用数据挖掘方法的应用程序可以简化人类特征的预测过程,因此不需要长时间的处理。今天,许多人仍然不知道自己的性格是什么,所以开发这个应用程序是为了让人们更容易发现自己的个性,从而了解自己的潜力、优点和缺点。算法C4.5具有精确的预测模型,具有复杂决策的能力,可以更容易地改变,从而选择一个更精确的决策,这样算法C4.5就可以对人们的个性进行分类。这款应用的目的是帮助人们了解自己拥有的人格类型。
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引用次数: 0
Rancang Bangun Sistem Keamanan Door Lock Menggunakan E-Ktp Berbasis Arduino Wemos Esp8266
IF 1 3区 数学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING Pub Date : 2022-09-15 DOI: 10.31253/algor.v4i1.1742
DICKA RIFQI AZZIZI, Rino
Tujuan dari penelitian ini adalah untuk membangun sebuah pintu pengaman yang menggunakan sistem E-KTP sebagai ID card dan juga sebagai pengganti kunci pintu manual atau tradisional, dan Arduino sebagai pengontrol rangkaian. Menggunakan kunci tradisional membuat mereka lebih rentan terhadap pencurian. Oleh karena itu, peneliti menggunakan E-KTP sebagai kunci elektronik yang lebih efektif untuk pengguna. Saat E-KTP menggantikan kunci tradisional, membuka pintu menjadi lebih mudah. Kunci elektronik menggantikan kunci pintu manual dengan kunci elektronik. Kunci pintu pintar dapat dioperasikan dengan keypad, sidik jari, dan juga dapat menggunakan perintah dengan sensor suara, remote control, dan bahkan  IoT. prototipe dibuat menggunakan metode waterfall. Metode langkah demi langkah ini bekerja sebagai berikut: Mengumpulkan serangkaian proses yang dapat dieksekusi satu demi satu. Dari pengumpulan data, desain prototipe, pembuatan prototipe, pengujian prototipe, pengujian prototipe hingga penyelesaian. Dari hasil penelitian dan pembahasan dapat disimpulkan bahwa E-KTP kunci pintu dapat dibangun dan dikendalikan menggunakan
这项研究的目的是建立一扇使用E-KTP作为ID的安全门,而不是传统的手动门锁,Arduino作为电路控制器。使用传统的钥匙使他们更容易偷窃。因此,研究人员使用E-KTP作为一种对用户更有效的电子密钥。当e - id取代了传统的钥匙,打开门就容易多了。电子锁用电子锁代替手动门锁。智能门的锁可以使用键盘、指纹,也可以使用语音传感器、遥控器甚至大量的命令。原型是使用瀑布法制作的。这些步骤的方法如下:一个接一个地收集可执行的过程。从数据收集,原型设计,原型制造,原型测试,原型测试到完成。研究和讨论表明,可以建立和控制门锁
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引用次数: 0
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Random Structures & Algorithms
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