Cover Image

The minimum number of maximal independent sets in twin-free graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cambie, Stijn, Wagner, Stephan
Format:	Preprint
Published:	2022
Subjects:	Combinatorics 05C35, 05C69, 05C05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Packing colourings in complete bipartite graphs and the inverse problem for correspondence packing
by: Cambie, Stijn, et al.
Published: (2023)

Towards the essence of Šoltés' problem
by: Cambie, Stijn
Published: (2024)

The maximum number of connected sets in regular graphs
by: Cambie, Stijn, et al.
Published: (2023)

Note on extremal problems about connected subgraph sums
by: Cambie, Stijn, et al.
Published: (2025)

List packing number of bounded degree graphs
by: Cambie, Stijn, et al.
Published: (2023)

Trees maximizing the number of almost-perfect matchings
by: Cambie, Stijn, et al.
Published: (2022)

Sparse graphs with an independent or foresty minimum vertex cut
by: Cheng, Kun, et al.
Published: (2024)

On the independence number in subcubic graphs
by: Harant, Jochen, et al.
Published: (2025)

On the extrema of the mean subtree order of graphs
by: Cambie, Stijn, et al.
Published: (2025)

A precise condition for independent transversals in bipartite covers
by: Cambie, Stijn, et al.
Published: (2023)

Lower bounds on the independence number of a graph in terms of degrees
by: Harant, Jochen, et al.
Published: (2025)

On the number of triangles in $K_4$-free graphs
by: He, Jialin, et al.
Published: (2025)

The average solution of a TSP instance in a graph
by: Cambie, Stijn
Published: (2022)

The minimum number of vertices and edges of connected graphs with ind-match$(G) = p$, min-match$(G) = q$ and match$(G) = r$
by: Matsuda, Kazunori, et al.
Published: (2025)

Maximum ratio of (graph) irregularities
by: Cambie, Stijn, et al.
Published: (2026)

Hilton-Milner Theorem for the $r$-independent sets in a union of cliques
by: Gunderson, Karen, et al.
Published: (2025)

Distribution of independent sets in perfect $r$-ary trees
by: Iľkovič, Daniel, et al.
Published: (2026)

On the average size of $1$-nearly independent vertex sets in graphs
by: Dossou-Olory, Audace A. V., et al.
Published: (2025)

Maximal independent sets in graphs with given matching number
by: Shi, Yongtang, et al.
Published: (2024)

Bounding mean orders of sub-$k$-trees of $k$-trees
by: Cambie, Stijn, et al.
Published: (2023)

Upper bound for the number of maximal dissociation sets in trees
by: Wang, Ziyuan, et al.
Published: (2024)

Bicyclic graphs with the smallest and largest numbers of connected sets
by: Dossou-Olory, Audace A. V.
Published: (2026)

Dense halves in balanced 2-partition of K4-free graphs
by: Xu, Yue, et al.
Published: (2024)

Fractionally colouring $P_5$-free graphs
by: Nguyen, Tung H.
Published: (2025)

Minimum spectral radius of graphs of fixed order and dissociation number and its connection to Turán problems
by: Desai, Dheer Noal, et al.
Published: (2025)

Abundancy of $z$-\v Soltés' digraphs
by: Cambie, Stijn
Published: (2024)

On the $δ$-chromatic numbers of the Cartesian products of graphs
by: Tangjai, Wipawee, et al.
Published: (2024)

$k$-fault-tolerant graphs for $p$ disjoint complete graphs of order $c$
by: Cichacz, Sylwia, et al.
Published: (2022)

Sharp bounds for covering with large cliques and independent sets
by: Bitonti, Veronica, et al.
Published: (2026)

Triangle-free graphs with the fewest independent sets
by: Buys, Pjotr, et al.
Published: (2025)

Asymmetric list sizes in bipartite graphs
by: Alon, Noga, et al.
Published: (2020)

Induced forests in some distance-regular graphs
by: Gunderson, Karen, et al.
Published: (2023)

The largest sets of non-opposite chambers in spherical buildings of type $B$
by: De Beule, Jan, et al.
Published: (2025)

Unique paired vs edge-vertex minimum dominating sets in trees
by: Miotk, Mateusz, et al.
Published: (2025)

Secure coalitions in graphs
by: Shetty, Swathi, et al.
Published: (2025)

Solution to a $3$-path isolation problem for subcubic graphs
by: Bartolo, Karl, et al.
Published: (2024)

How large part of a graph can be covered by the neighborhoods of k vertices?
by: Pach, Janos
Published: (2026)

On the Erdős-Ko-Rado problem of flags with type $\{1, n-3 \}$ of finite sets
by: Heering, Philipp
Published: (2025)

Ratio of the number of $\mathbf{1}$-nearly independent vertex subsets and the Merrifield-Simmons index
by: Dossou-Olory, Audace A. V., et al.
Published: (2026)

Extremal problems about the order and size of nonhamiltonian locally linear graphs
by: Liu, Feng, et al.
Published: (2024)