# Distance Matrices for Conjugate Skew Gain Graphs

Source: [Distance Matrices for Conjugate Skew Gain Graphs](<https://www.sota2.com/research/paper/68fa5a9d1e209131ce9c15b0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:36:49.343Z

Authors: Shahul Hameed K, Ramakrishnan K O, Biju K

Published: 2023-07-11T18:38:36.000Z

## Abstract

A conjugate skew gain graph is a skew gain graph with the labels (also called, the conjugate skew gains) from the field of complex numbes on the oriented edges such that they get conjugated when we reverse the orientation. In this paper we introduce distance matrices for conjugate skew gain graphs and characterize balanced conjugate skew gain graphs using these matrices. We provide explicit formulae for the distance spectra of certain conjugate skew gain graphs.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2307.05718>)

[PDF](<https://arxiv.org/pdf/2307.05718.pdf>)