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The spectral Turán problem about graphs of given size with forbidden subgraphs

open access: yesAKCE International Journal of Graphs and Combinatorics
Let G be a graph of size m and [Formula: see text] be the spectral radius of its adjacency matrix. A graph is said to be H-free if it does not contain a subgraph isomorphic to H. Let [Formula: see text] be the graph obtained by adding a pendent vertex to
Amir Rehman, S. Pirzada
doaj   +1 more source

Line game-perfect graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
The $[X,Y]$-edge colouring game is played with a set of $k$ colours on a graph $G$ with initially uncoloured edges by two players, Alice (A) and Bob (B). The players move alternately. Player $X\in\{A,B\}$ has the first move. $Y\in\{A,B,-\}$.
Stephan Dominique Andres, Wai Lam Fong
doaj   +1 more source

A Finite Characterization and Recognition of Intersection Graphs of Hypergraphs with Rank at Most 3 and Multiplicity at Most 2 in the Class of Threshold Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
We characterize the class L32$L_3^2 $ of intersection graphs of hypergraphs with rank at most 3 and multiplicity at most 2 by means of a finite list of forbidden induced subgraphs in the class of threshold graphs.
Metelsky Yury   +2 more
doaj   +1 more source

On Forbidden Subgraphs of (K2, H)-Sim-(Super)Magic Graphs [PDF]

open access: green, 2021
Yeva Fadhilah Ashari   +2 more
openalex   +1 more source

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