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Given two messages - as linear sequences of letters, it is immediate to determine whether one can be transformed into the other by simple substitution cipher of the letters. On the other hand, if the letters are carried as labels on nodes…

Discrete Mathematics · Computer Science 2022-04-14 Florian Ingels , Romain Azaïs

Plane increasing trees are rooted labeled trees embedded into the plane such that the sequence of labels is increasing on any branch starting at the root. Relaxed binary trees are a subclass of unlabeled directed acyclic graphs. We…

Combinatorics · Mathematics 2018-07-12 Michael Wallner

We consider a wireless sensor network (WSN), consisting of several sensors and a fusion center (FC), which is tasked with solving an M-ary hypothesis testing problem. Sensors make M-ary decisions and transmit their digitally modulated…

Information Theory · Computer Science 2017-08-22 Zahra Hajibabaei , Jalil Modares , Azadeh Vosoughi

This paper studies the problem of detecting a potential malicious relay node by a source node that relies on the relay to forward information to other nodes. The channel model of two source nodes simultaneously sending symbols to a relay is…

Information Theory · Computer Science 2012-05-16 Eric Graves , Tan Wong

In 1989 Erd\H{o}s and Sz\'ekely showed that there is a bijection between (i) the set of rooted trees with $n+1$ vertices whose leaves are bijectively labeled with the elements of $[\ell]=\{1,2,\dots,\ell\}$ for some $\ell \leq n$, and (ii)…

Discrete Mathematics · Computer Science 2025-10-29 Vincent Moulton , Andreas Spillner

Air-based molecular communication (MC) has the potential to be one of the first MC systems to be deployed in real-world applications, enabled by existing sensor technologies such as metal-oxide semi-conductor (MOS) sensors. However,…

We consider three different schemes for signal routing on a tree. The vertices of the tree represent transceivers that can transmit and receive signals, and are equipped with i.i.d. weights representing the strength of the transceivers. The…

Probability · Mathematics 2014-07-14 Maria Deijfen , Nina Gantert

This paper is concerned with the performance of differential amplify-and-forward (D-AF) relaying for multi-node wireless communications over time-varying Rayleigh fading channels. A first-order auto-regressive model is utilized to…

Information Theory · Computer Science 2014-04-01 M. R. Avendi , Ha H. Nguyen

In this paper, we analyze binary-tree algorithms in a setup in which the receiver can perform multi-packet reception (MPR) of up to and including K packets simultaneously. The analysis addresses both traffic-independent performance as well…

Networking and Internet Architecture · Computer Science 2021-02-05 Cedomir Stefanović , H. Murat Gürsu , Yash Deshpande , Wolfgang Kellerer

In this paper, we delve into the computations performed at a node within a message-passing algorithm. We investigate low complexity/latency multi-input structures that can be adopted by the node for computing outgoing messages y = (y1, y2,…

Information Theory · Computer Science 2024-07-15 Teng Lu , Xuan He , Xiaohu Tang

In this article, we calculate the mean throughput, number of collisions, successes, and idle slots for random tree algorithms with successive interference cancellation. Except for the case of the throughput for the binary tree, all the…

Probability · Mathematics 2025-05-06 Quirin Vogel , Yash Deshpande , Cedomir Stefanović , Wolfgang Kellerer

For massive MIMO AF relays, symbol detection becomes a practical issue when the number of antennas is not large enough, since linear methods are non-optimal and optimal methods are exponentially complex. This paper proposes a new detection…

Information Theory · Computer Science 2020-03-27 Haochuan Zhang , Qiuyun Zou

The efficiency of inference in both the Hugin and, most notably, the Shafer-Shenoy architectures can be improved by exploiting the independence relations induced by the incoming messages of a clique. That is, the message to be sent from a…

Artificial Intelligence · Computer Science 2013-02-08 Uffe Kjærulff

Molecular communication between biological entities is a new paradigm in communications. Recently, we studied molecular communication between two nodes formed from synthetic bacteria. Due to high randomness in behavior of bacteria, we used…

Emerging Technologies · Computer Science 2014-10-07 Arash Einolghozati , Mohsen Sardari , Faramarz Fekri

The general communication tree embedding problem is the problem of mapping a set of communicating terminals, represented by a graph G, into the set of vertices of some physical network represented by a tree T. In the case where the vertices…

Computational Complexity · Computer Science 2016-01-13 Saber Mirzaei

We consider a discrete-time dynamical process on graphs, firstly introduced in connection with a protocol for controlling large networks of spin 1/2 quantum mechanical particles [Phys. Rev. Lett. 99, 100501 (2007)]. A description is as…

Combinatorics · Mathematics 2013-09-17 Simone Severini

Routing tables in ad hoc and wireless routing protocols can be represented using rooted trees. The constant need for communication and storage of these trees in routing protocols demands an efficient rooted tree coding algorithm. This…

Networking and Internet Architecture · Computer Science 2022-07-13 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

Imitating a recently introduced invariant of trees, we initiate the study of the inducibility of $d$-ary trees (rooted trees whose vertex outdegrees are bounded from above by $d\geq 2$) with a given number of leaves. We determine the exact…

Combinatorics · Mathematics 2018-02-13 Éva Czabarka , Audace A. V. Dossou-Olory , László A. Székely , Stephan Wagner

Network trace signature matching is one reliable approach to detect active Remote Control Trojan, (RAT). Compared to statistical-based detection of malicious network traces in the face of known RATs, the signature-based method can achieve…

Cryptography and Security · Computer Science 2021-04-07 Cong Dong , Zhigang Lu , Zelin Cui , Baoxu Liu , Kai Chen

Broadcasting in a computer network is a method of transferring a message to all recipients simultaneously. It is common in this situation to use a tree with many leaves to perform the broadcast, as internal nodes have to forward the…

Data Structures and Algorithms · Computer Science 2020-07-16 Cristina G. Fernandes , Carla N. Lintzmayer