activity
20212026
most citedStar Colouring of Bounded Degree Graphs and Regular Graphs

5 citations · 5 across the 7 of their papers we have counts for

collaborators

9 papers

cs.DM2026

Pairwise Compatibility Graphs of Unweighted Caterpillars

Cyriac Antony, Manuel Lafond, Angelo Monti +1

In this paper we study pairwise compatibility graphs whose witness tree is required to be an unweighted caterpillar. This is a natural restriction of PCGs, in the same line of rese…

q-bio.PE2026

Structural properties of distance-bounded phylogenetic reconciliation

Cyriac Antony, Alessio Martino, Blerina Sinaimeri

Phylogenetic reconciliation seeks to explain host-symbiont co-evolution by mapping parasite trees onto host trees through events such as cospeciation, duplication, host switching,…

math.CO2025

Some short notes on oriented line graphs and related matrices

Jacob Antony, Cyriac Antony, Jinitha Varughese +1

Oriented line graph, introduced by Kotani and Sunada (2000), is closely related to Hashimato's non-backtracking matrix (1989). It is known that for regular graphs , the eigenval…

math.CO2024

Graceful coloring is computationally hard

Cyriac Antony, Laavanya D., Devi Yamini S

Given a (proper) vertex coloring of a graph , say , the difference edge labelling induced by is a function defin…

math.CO2023

Star colouring and locally constrained graph homomorphisms

Cyriac Antony, Shalu M. A

We relate star colouring of even-degree regular graphs to the notions of locally constrained graph homomorphisms to the oriented line graph of the complete graph $…

math.CO2023

Hardness Transitions and Uniqueness of Acyclic Colouring

Shalu M. A., Cyriac Antony

For , a -acyclic colouring of a graph is a function such that (i)~ for every edge of , and (ii)~t…

math.CO2023

Hardness Transitions of Star Colouring and Restricted Star Colouring

Shalu M. A., Cyriac Antony

We study how the complexity of the graph colouring problems star colouring and restricted star colouring vary with the maximum degree of the graph. Restricted star colouring (in sh…

math.CO2023★ 5 cited

Star Colouring of Bounded Degree Graphs and Regular Graphs

Shalu M. A., Cyriac Antony

A -star colouring of a graph is a function such that for every edge of , and every bicoloured connected subgraph of …

math.CO2021

Complexity of Restricted Star Colouring

Shalu M. A., Cyriac Antony

Restricted star colouring is a variant of star colouring introduced to design heuristic algorithms to estimate sparse Hessian matrices. For , a -restricted star…