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Mathematics > Combinatorics

Title: Mycielskian of Signed Graphs

Authors: Albin Mathew, Germina K. A.
(Submitted on 2 Feb 2023 (v1), last revised 25 May 2023 (this version, v2))
Abstract: In this paper, we define the Mycielskian of a signed graph and discuss the properties of balance and switching in the Mycielskian of a given signed graph. We provide a condition for ensuring the Mycielskian of a balanced signed graph remains balanced, leading to the construction of a balanced Mycielskian. We establish a relation between the chromatic numbers of a signed graph and its Mycielskian. We also study the structure of different matrices related to the Mycielskian of a signed graph.
Subjects: Combinatorics (math.CO)
Cite as: arXiv:2302.00946 [math.CO]
  (or arXiv:2302.00946v2 [math.CO] for this version)

Submission history

From: Albin Mathew [view email]
[v1] Thu, 2 Feb 2023 08:37:15 GMT (8kb)
[v2] Thu, 25 May 2023 17:13:45 GMT (12kb)
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