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1,036 results on '"Palanivel, P."'

20. A study on $A_\alpha$-spectrum and $A_\alpha$-energy of unitary addition Cayley graphs

Author

K, Najiya V, A V, Chithra, and Palanivel, Naveen

Subjects
Mathematics - Combinatorics
Abstract

The unitary addition Cayley graph $G_n$, $n\in Z^+$ is the graph whose vertex set is $Z_n$, the ring of integers modulo $n$ and two vertices $u$ and $v$ are adjacent if and only if $u + v \in \cup_n$ where $\cup_n$ is the set of all units of the ring. The $A_\alpha$-matrix of a graph $G$ is defined as $A_\alpha (G) = \alpha D(G) + (1-\alpha)A(G)$, $\alpha \in [0, 1]$, where $D(G)$ is the diagonal matrix of vertex degrees and $A(G)$ is the adjacency matrix of $G$. In this paper, we investigate the $A_\alpha$-eigenvalues for unitary addition Cayley graph and its complement. We determine bounds for $A_\alpha$-eigenvalues of unitary addition Cayley graph when its order is odd. Consequently, we compute the $A_\alpha$-energy of both $G_n$ and its complement, $\overline{G_n}$, for $n={p}^m$ where ${p}$ is a prime number and $n$ even. Moreover, we obtain some bounds for energies of $G_n$ and $\overline{G}_n$ when $n$ is odd. We also define $A_\alpha$-borderenergetic and $A_\alpha$-hyperenergetic graphs and observe some classes for each.

Published
2023

25. Benchmarking tunnel and encryption methodologies in cloud environments

Author

Kannan, Pravein Govindan, Salisbury, Brent, Kodeswaran, Palanivel, and Sen, Sayandeep

Subjects
Computer Science - Networking and Internet Architecture, Computer Science - Distributed, Parallel, and Cluster Computing
Abstract

The recent past has seen the adoption of multi-cloud deployments by enterprises due to availability, features, and regulatory requirements. A typical deployment involves parts of an application/workloads running inside a private cloud with the other parts spread across multiple on-prem/public clouds. Typical cluster-to-cluster networking in such deployments involve the establishment of site-to-site encrypted tunnels to connect the workloads. In this report, we benchmark the performance of various tunneling and encryption technologies to provide directions on their use in multi-cloud deployments. Based on the various experiments conducted on three different testbeds, we present quantifiable data which can be leveraged by operators and cloud providers tasked with design and development decisions of multi-cloud network connectivity and orchestration.

Published
2022

32. Trusted Data Notifications from Private Blockchains

Author

Behl, Dushyant, Kodeswaran, Palanivel, Ramakrishna, Venkatraman, Sen, Sayandeep, and Vinayagamurthy, Dhinakaran

Subjects
Computer Science - Cryptography and Security, Computer Science - Distributed, Parallel, and Cluster Computing
Abstract

Private blockchain networks are used by enterprises to manage decentralized processes without trusted mediators and without exposing their assets publicly on an open network like Ethereum. Yet external parties that cannot join such networks may have a compelling need to be informed about certain data items on their shared ledgers along with certifications of data authenticity; e.g., a mortgage bank may need to know about the sale of a mortgaged property from a network managing property deeds. These parties are willing to compensate the networks in exchange for privately sharing information with proof of authenticity and authorization for external use. We have devised a novel and cryptographically secure protocol to effect a fair exchange between rational network members and information recipients using a public blockchain and atomic swap techniques. Using our protocol, any member of a private blockchain can atomically reveal private blockchain data with proofs in exchange for a monetary reward to an external party if and only if the external party is a valid recipient. The protocol preserves confidentiality of data for the recipient, and in addition, allows it to mount a challenge if the data turns out to be inauthentic. We also formally analyze the security and privacy of this protocol, which can be used in a wide array of practical scenarios, Comment: 9 pages

Published
2021
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