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Tight Toughness, Isolated Toughness and Binding Number Bounds for the Star-Path Factor 星径因子的紧密韧性、孤立韧性和结合数界限
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-10-20 DOI: 10.1142/s0219265923500202
Yifan Yao, Jinxia Liang, Yue Li, Rongrong Ma
For a set [Formula: see text] of connected graphs, a spanning subgraph [Formula: see text] of [Formula: see text] is called a [Formula: see text] if each component of [Formula: see text] is isomorphic to a member of [Formula: see text]. In this paper, some sufficient conditions with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the [Formula: see text]-factor and [Formula: see text]-factor for any graph are obtained.
对于连通图的集合[公式:见文],如果[公式:见文]的每个组成部分与[公式:见文]的一个成员同构,则[公式:见文]的生成子图[公式:见文]称为[公式:见文]。本文给出了任意图的紧韧性、孤立韧性和约束数界存在的充分条件,以保证任意图的[公式:见文]因子和[公式:见文]因子的存在。
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引用次数: 0
On the Monitoring-Edge-Geodetic Numbers of Line Graphs 关于线形图的监测边测地数
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-10-20 DOI: 10.1142/s0219265923500251
Gemaji Bao, Chenxu Yang, Zhiqiang Ma, Zhen Ji, Xin Xu, Peiyao Qin
For a vertex set [Formula: see text], we say that [Formula: see text] is a monitoring-edge-geodetic set (MEG-set for short) of graph [Formula: see text], that is, some vertices of [Formula: see text] can monitor an edge of the graph, if and only if we can remove that edge would change the distance between some pair of vertices in the set. The monitoring-edge-geodetic number [Formula: see text] of a graph [Formula: see text] is defined as the minimum cardinality of a monitoring-edge-geodetic set of [Formula: see text]. The line graph [Formula: see text] of [Formula: see text] is the graph whose vertices are in one-to-one correspondence with the edges of [Formula: see text], that is, if two vertices are adjacent in [Formula: see text] if and only if the corresponding edges have a common vertex in [Formula: see text]. In this paper, we study the relation between [Formula: see text] and [Formula: see text], and prove that [Formula: see text]. Next, we have determined the exact values for a MEG-set of some special graphs and their line graphs. For a graph [Formula: see text] and its line graph [Formula: see text], we prove that [Formula: see text] can be arbitrarily large.
对于一个顶点集[公式:见文],我们说[公式:见文]是图[公式:见文]的一个监控边测地集(简称meg集),即[公式:见文]的一些顶点可以监控图的某条边,当且仅当我们可以移除这条边会改变集合中某些顶点对之间的距离。图[公式:见文]的监测边测地线数[公式:见文]定义为[公式:见文]的监测边测地线集合的最小基数。[公式:见文]的直线图[公式:见文]是顶点与[公式:见文]的边一一对应的图,即当且仅当[公式:见文]中两个顶点相邻时,当对应的边有[公式:见文]中的一个公共顶点。本文研究了[公式:见文]与[公式:见文]之间的关系,证明了[公式:见文]。接下来,我们确定了一些特殊图及其线形图的meg集的确切值。对于一个图[公式:见文]和它的线图[公式:见文],我们证明了[公式:见文]可以任意大。
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引用次数: 0
Sharp Bounds and Precise Values for the Ni-Chromatic Number of Graphs 图的ni色数的锐界和精确值
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-10-20 DOI: 10.1142/s021926592350024x
Yangfan Yu, Yuefang Sun
Let [Formula: see text] be a connected undirected graph. A vertex coloring [Formula: see text] of [Formula: see text] is an [Formula: see text]-vertex coloring if for each vertex [Formula: see text] in [Formula: see text], the number of different colors assigned to [Formula: see text] is at most [Formula: see text]. The [Formula: see text]-chromatic number of [Formula: see text], denoted by [Formula: see text], is the maximum number of colors which are used in an [Formula: see text]-vertex coloring of [Formula: see text]. In this paper, we provide sharp bounds for [Formula: see text] of a graph [Formula: see text] in terms of its vertex cover number, maximum degree and diameter, respectively. We also determine precise values for [Formula: see text] in some cases.
设[公式:见文本]为连通无向图。如果对于[公式:见文]中的每个顶点[公式:见文],分配给[公式:见文]的不同颜色的数量最多为[公式:见文],则[公式:见文]的顶点着色[公式:见文]是[公式:见文]顶点着色。[公式:见文]-[公式:见文]的色数,用[公式:见文]表示,是在一个[公式:见文]-[公式:见文]的顶点着色中使用的最大颜色数。本文对图[公式:见文]的顶点覆盖数、最大度和直径分别给出了[公式:见文]的锐利界。在某些情况下,我们还确定[公式:见文本]的精确值。
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引用次数: 0
Efficient Strategy to Exchange Road Messages Between Smart Vehicles and Wireless Sensor Networks in Hybrid Sensor and Vehicular Networks 传感器与车辆混合网络中智能车辆与无线传感器网络之间道路信息交换的有效策略
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-10-10 DOI: 10.1142/s0219265923500238
Taha Bensiradj
The aim of the intelligent transport system (ITS) is the improvement of road safety. This system is based on intelligent vehicles composing a network called Vehicular Ad hoc NETwork (VANET). This network suffers from a disconnection problem due to its dynamic topology. Therefore, a framework of collaboration between the Wireless Sensor Network (WSN) and VANET called Hybr1id Sensor and Vehicular Networks (HSVN) has been proposed. In HSVN, the WSN can play the role of a relay between disconnected vehicles. This paper aims to propose a strategy allowing the exchange of messages between the two networks. That reduces the number of accidents and improves the management of road traffic. We can summarize our proposition in three essential points. First, an algorithm is proposed to decompose the vehicular network into clusters. This algorithm takes into account the mobile aspect of vehicles and the road model. Second, a data encoding model and a message model have been proposed to improve the quality of messages. That reduces the response time of drivers to a critical situation. Finally, an exchange algorithm is proposed to ensure the transmission of road messages between vehicles and sensors. Its principle of work is based on several scenarios defined relative to the network condition. Obtained results show an improvement in the delivery delays of road messages and the number of exchanged road messages between the vehicles.
智能交通系统(ITS)的目标是改善道路安全。该系统是基于智能车辆组成的车辆自组网(VANET)。该网络由于其动态拓扑结构而存在断连问题。因此,提出了无线传感器网络(WSN)和VANET之间的协作框架,称为混合传感器和车辆网络(HSVN)。在hsn中,WSN可以在断开的车辆之间起到中继的作用。本文旨在提出一种允许在两个网络之间交换消息的策略。这减少了事故的数量,改善了道路交通的管理。我们可以用三个要点来概括我们的主张。首先,提出了一种将车辆网络分解成簇的算法。该算法考虑了车辆的移动特性和道路模型。其次,提出了数据编码模型和消息模型,以提高消息的质量。这减少了司机对紧急情况的反应时间。最后,提出了一种保证车辆与传感器之间道路信息传输的交换算法。它的工作原理是基于相对于网络状况定义的几个场景。获得的结果表明,道路信息的传递延迟和车辆之间交换的道路信息数量有所改善。
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引用次数: 0
Secure and Energy-Based STEERA Routing Protocol for Wireless Sensor Networks 安全的基于能量的STEERA无线传感器网络路由协议
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-09-29 DOI: 10.1142/s0219265923500184
G. Mohan Ram, E. Ilavarasan
In wireless sensor networks (WSN), the multifunctional low-power sensor nodes are linked to base stations and are highly responsible for sensing various information. However, maintaining the network’s lifespan is a major issue because of limited battery capacity and node failures. Thus, the proposed study introduced a new Scalable Trust-based Energy Efficient Routing Algorithm (STEERA) with Adaptive Grasshopper Algorithm (AGA) to enhance the network lifespan. At first, the trust values (Tv) are generated for each node to eliminate the malicious node with the help of penalty factor and volatilization. To make efficient routing process, the nodes are formed into cluster groups. A suitable cluster head is selected for each cluster to mitigate the energy consumption problem through the AGA approach by optimizing the parameters like Tv, distance and residual energy. Finally, the data packets are effectively transmitted through a multi-hop routing process by selecting an appropriate path and satisfying certain parameters through Fire Hawks Optimization (FHO). To simulate the proposed techniques, NS2 software is employed, and the performance is measured over various metrics like energy consumption, residual energy, the lifespan of a network, packet loss ratio and average end-to-end delay. The performance analysis shows that the proposed protocol design has obtained higher results than conventional routing protocols.
在无线传感器网络(WSN)中,与基站相连的多功能低功耗传感器节点肩负着感知各种信息的重任。然而,由于有限的电池容量和节点故障,维持网络的使用寿命是一个主要问题。因此,该研究引入了一种新的可扩展的基于信任的节能路由算法(STEERA)和自适应蚱蜢算法(AGA),以提高网络的寿命。首先,对每个节点生成信任值(Tv),利用惩罚因子和挥发性来消除恶意节点。为了使路由过程更高效,将节点组成集群组。通过对Tv、距离和剩余能量等参数的优化,为每个簇选择合适的簇头来缓解能量消耗问题。最后,通过火鹰优化算法(Fire Hawks Optimization, FHO)选择合适的路径并满足一定的参数,使数据包通过多跳路由过程有效传输。为了模拟所提出的技术,采用了NS2软件,并通过能耗、剩余能量、网络寿命、丢包率和平均端到端延迟等各种指标来测量性能。性能分析表明,该协议设计比传统路由协议具有更高的性能。
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引用次数: 0
On the Extremal Values of the Weighted Integrity of a Graph 图的加权完整性极值问题
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-09-26 DOI: 10.1142/s0219265923500196
Wayne Goddard, Julia VanLandingham
The integrity of a graph [Formula: see text] is defined as the minimum value of [Formula: see text] taken over all [Formula: see text], where [Formula: see text] denotes the maximum cardinality of a component of graph [Formula: see text]. In this paper, we investigate bounds on the maximum and minimum values of the weighted version of this parameter. We also consider the same question for the related parameter vertex-neighbor-integrity.
图[公式:见文]的完整性定义为[公式:见文]占所有[公式:见文]的最小值,其中[公式:见文]表示图[公式:见文]的一个分量的最大基数。在本文中,我们研究了该参数的加权版本的最大值和最小值的界。对于相关参数顶点邻居完整性,我们也考虑了同样的问题。
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引用次数: 0
Low Delay Transmission Scheme of Power Communication Information Based on 5G Network 基于5G网络的电力通信信息低时延传输方案
Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-09-26 DOI: 10.1142/s0219265923500172
Dongjuan Ma, Feng Jing, Zehui Liu, Min Guo, Weizhe Jing, Jie Liang
Power information data transmission is prone to packet loss rate, and communication protocol is required to improve the transmission capacity of power information data. Therefore, a low delay transmission scheme of power communication information based on 5G networking is proposed and constructed, the power communication information data through 5G networking technology is processed and is sent to the corresponding data application module for data classification and mining, and then the information data is converted in different formats to the same data transmission format. TCP communication protocol as the communication protocol is selected for data online transmission to describe the low delay transmission of power communication information. The chaotic sequence is set based on 5G networking, and the connection weight matrix is calculated. Then the power communication information sequence is encrypted in real time according to the row column substitution rule. On this basis, the data encryption module, dynamic key generation module and shared key update module are combined to realize the low delay transmission of power communication information. The experimental results show that with the increase of the network area and the number of nodes, the data transmission volume can be gradually increased. The change range of this method is relatively small, which can effectively improve the feasibility of the low delay transmission scheme of power communication information.
电力信息数据传输容易出现丢包率,需要采用通信协议来提高电力信息数据的传输能力。因此,提出并构建了一种基于5G组网的电力通信信息低时延传输方案,通过5G组网技术对电力通信信息数据进行处理后发送到相应的数据应用模块进行数据分类挖掘,然后将不同格式的信息数据转换为相同的数据传输格式。选择TCP通信协议作为数据在线传输的通信协议来描述电力通信信息的低延迟传输。基于5G组网设置混沌序列,计算连接权矩阵。然后根据行列替换规则对电力通信信息序列进行实时加密。在此基础上,结合数据加密模块、动态密钥生成模块和共享密钥更新模块,实现电力通信信息的低延迟传输。实验结果表明,随着网络面积和节点数量的增加,数据传输量可以逐渐增加。该方法的变化范围相对较小,可以有效地提高电力通信信息低延迟传输方案的可行性。
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引用次数: 0
The Bounds of Generalized 4-Connectivity of Folded Divide-and-Swap Cubes 折叠分换立方体的广义4连通性的界
IF 0.7 Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-08-10 DOI: 10.1142/s0219265923500160
Caixi Xue, Shuming Zhou, Hong Zhang
Connectivity along with its extensions are important metrices to estimate the fault-tolerance of interconnection networks. The classic connectivity [Formula: see text] of a graph [Formula: see text] is the minimum cardinality of a vertex set [Formula: see text] such that [Formula: see text] is connected or a single vertex. For any subset [Formula: see text] with [Formula: see text], a tree [Formula: see text] in [Formula: see text] is called an [Formula: see text]-tree if [Formula: see text]. Furthermore, any two [Formula: see text]-tree [Formula: see text] and [Formula: see text] are internally disjoint if [Formula: see text] and [Formula: see text]. We denote by [Formula: see text] the maximum number of pairwise internally disjoint [Formula: see text]-trees in [Formula: see text]. For an integer [Formula: see text], the generalized [Formula: see text]-connectivity of a graph [Formula: see text] is defined as [Formula: see text] and [Formula: see text]. For the [Formula: see text]-dimensional folded divide-and-swap cubes, [Formula: see text], we show the upper bound and the lower bound of [Formula: see text], that is [Formula: see text], where [Formula: see text] and [Formula: see text] in this paper.
连通性及其扩展是评估互连网络容错性的重要指标。图的经典连通性[公式:见文]是顶点集[公式:见文]的最小基数,使得[公式:见文]是连通的或单个顶点。对于任何具有[公式:见文本]的子集[公式:见文本],[公式:见文本]中的树[公式:见文本]称为[公式:见文本]树,如果[公式:见文本]。此外,任意两个[公式:见文]-树[公式:见文]和[公式:见文]在内部是不相交的,如果[公式:见文]和[公式:见文]。我们用[公式:见文]表示[公式:见文]中成对内部不相交的[公式:见文]-树的最大数目。对于整数[公式:见文],广义[公式:见文]-图[公式:见文]的连通性定义为[公式:见文]和[公式:见文]。对于[公式:见文]维折叠分换立方体,[公式:见文],我们给出[公式:见文]的上界和下界,即[公式:见文],其中本文的[公式:见文]和[公式:见文]。
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引用次数: 0
On δ(k)-Coloring of Some Cycle-Related Graphs 关于若干环相关图的δ(k)-着色
IF 0.7 Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-08-08 DOI: 10.1142/s0219265923500147
Merlin Thomas Ellumkalayil, S. Naduvath
A graph coloring is proper when the colors assigned to a pair of adjacent vertices in it are different and it is improper when at least one of the adjacent pair of vertices receives the same color. When the minimum number of colors required in a proper coloring of a graph is not available, coloring the graph with the available colors, say [Formula: see text] colors, will lead at least an edge to have its end vertices colored with a same color. Such an edge is called a bad edge. In a proper coloring of a graph [Formula: see text], every color class is an independent set. However, in an improper coloring there can be few color classes that are non-independent. In this paper, we use the concept of [Formula: see text]-coloring, which permits only one color class to be non-independent and determine the minimum number of bad edges, which is denoted by [Formula: see text], obtained from the same for some cycle-related graphs.
当相邻的一对顶点的颜色不同时,图形的上色是正确的,当相邻的一对顶点中至少有一个接收到相同的颜色时,图形的上色是不正确的。当对图形进行适当着色所需的最小颜色数量不可用时,用可用的颜色(例如[公式:见文本]颜色)对图形进行着色,将导致至少一条边的端点具有相同的颜色。这样的边叫做坏边。在图的适当着色中[公式:见文本],每个颜色类都是一个独立的集合。然而,在不正确的着色中,可能会有几个非独立的颜色类。在本文中,我们使用了[公式:见文]-着色的概念,它只允许一个颜色类是非独立的,并确定了坏边的最小数量,用[公式:见文]表示,这是由相同的方法得到的一些与循环相关的图。
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引用次数: 0
Holes Problem Solving in Khalimsky Topology Protocol for Wireless Sensor Networks (WSNs) 无线传感器网络(WSNs) Khalimsky拓扑协议中的空穴问题求解
IF 0.7 Q4 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2023-08-08 DOI: 10.1142/s0219265923500159
Mahmoud Mezghani, Omnia Mezghani
In this paper, we propose an approach solving the holes problem in Wireless Sensor Networks (WSNs) based on Khalimsky k-Clustering and data routing protocol (MDKC). The aim of this solution is to establish optimized data routing paths between isolated nodes/clusters and the Sink in noisy environment with the presence of obstacles. This approach is an improvement of a previous work deploying stationary WSN not dealing with the problem of “holes”. At first, the MDKC algorithm divides the WSN into k-hop [Formula: see text] compact dynamic clusters. For each cluster, a node is elected cluster-head in its k-neighborhood according to some criteria such as the remaining energy, the k-degree and the communication probability average. Then, some nodes are selected as Khalimsky anchors to optimize the intra-cluster data routing process. The Khalimsky anchors at the border layers ensure the inter-cluster data routing between adjacent clusters. In the next phase of MDKC, Mobile Collectors (MCs) are used for data collecting and relaying from isolated nodes/clusters to the connected Khalimsky’s nodes. The simulation results prove that MDKC minimizes the energy consumption and improves the connectivity rate between sensors and the delivery rate compared to some existing approaches.
本文提出了一种基于Khalimsky k-Clustering和数据路由协议(MDKC)的解决无线传感器网络(WSNs)中漏洞问题的方法。该解决方案的目的是在存在障碍物的嘈杂环境中,在孤立的节点/集群和Sink之间建立优化的数据路由路径。这种方法是对先前部署固定WSN的工作的改进,该工作不处理“洞”问题。首先,MDKC算法将WSN划分为k-hop[公式:见文]紧凑动态簇。对于每个簇,根据剩余能量、k度和通信概率平均值等标准在其k邻域中选出一个节点作为簇头。然后,选取部分节点作为Khalimsky锚点,优化集群内数据路由过程。边界层的Khalimsky锚确保相邻集群之间的集群间数据路由。在MDKC的下一阶段,移动收集器(mc)用于数据收集和从孤立的节点/集群中继到连接的Khalimsky节点。仿真结果表明,与现有的一些方法相比,MDKC可以最大限度地降低能耗,提高传感器之间的连接速率和传输速率。
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引用次数: 0
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JOURNAL OF INTERCONNECTION NETWORKS
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