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The clique transversal problem is a critical concept in graph theory, focused on identifying a minimum subset of vertices that intersects all maximal cliques in a graph. This problem and its variations—such as the k-fold clique, k-clique, minus clique, and signed clique transversal problems—have received significant interest due to their theoretical importance and practical applications. This paper examines the k-fold clique, k-clique, minus clique, and signed clique transversal problems on distance-hereditary graphs. Known for their distinctive structural properties, distance hereditary graphs provide an ideal framework for studying these problem variants. By exploring these issues in the context of distance-hereditary graphs, this research enhances the understanding of the computational challenges and the potential for developing efficient algorithms to address these problems.

Caledonian tweeds and heritage cashmere are in full force this season. Fellow Scots Christopher Kane and Stella Tennant head for the mills with Sarah Mower.

The daughters and sons of the professionally stylish may have been born aesthetically advantaged, but when it comes to matters of taste, they aren't always a chip off the old block. Charles Gandee goes looking for family resemblances.

Gender-crossing clothes are nothing new in the house of Yves Saint Laurent. But, asks Sarah Mower, what purpose do they serve if not a political one?

The perfect weekend lies ahead. You r destination is set, but your wardrobe is in question. Six style setters lead Philip Weiss on a merry chase through the racks