Generalization of edge general position problem

Manuel, Paul; Prabha, R.; Klavžar, Sandi

doi:10.26493/2590-9770.1745.5f4

Art Discrete Appl. Math.

2024

DOI: 10.26493/2590-9770.1745.5f4

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Generalization of edge general position problem

Paul Manuel,

R. Prabha,

Sandi Klavžar

Abstract: Dedicated to Dragan Marušič on the occasion of his 70th birthday.

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2024

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Cited by 2 publications

References 19 publications

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Extremal Edge General Position Sets in Some Graphs

Tian,

Klavžar,

Tan

2024

Graphs and Combinatorics

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A set of edges $$X\subseteq E(G)$$ X ⊆ E ( G ) of a graph G is an edge general position set if no three edges from X lie on a common shortest path. The edge general position number $${\textrm{gp}}_{\textrm{e}}(G)$$ gp e ( G ) of G is the cardinality of a largest edge general position set in G. Graphs G with $${\textrm{gp}}_{{\textrm{e}}}(G) = |E(G)| - 1$$ gp e ( G ) = | E ( G ) | - 1 and with $${\textrm{gp}}_{{\textrm{e}}}(G) = 3$$ gp e ( G ) = 3 are respectively characterized. Sharp upper and lower bounds on $${\textrm{gp}}_{{\textrm{e}}}(G)$$ gp e ( G ) are proved for block graphs G and exact values are determined for several specific block graphs.

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Extremal Edge General Position Sets in Some Graphs

Tian,

Klavžar,

Tan

2024

Graphs and Combinatorics

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show abstract

On the general position number of the k -th power graphs

Tian,

2024

Quaestiones Mathematicae

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Generalization of edge general position problem

Abstract: Dedicated to Dragan Marušič on the occasion of his 70th birthday.

Cited by 2 publications

References 19 publications

Extremal Edge General Position Sets in Some Graphs

Extremal Edge General Position Sets in Some Graphs

On the general position number of the k -th power graphs

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