Cover Image

On the number of triangles in $K_4$-free graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	He, Jialin, Ma, Jie, Wang, Yan, Zu, Chunlei
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 05C35 05C69 05C70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

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

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

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

The minimum number of maximal independent sets in twin-free graphs
by: Cambie, Stijn, et al.
Published: (2022)

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

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

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

Domination and packing in graphs
by: Dúcz, Ákos, et al.
Published: (2026)

Isolation of non-triangle cycles in graphs
by: Borg, Peter, et al.
Published: (2025)

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

Critical edge sets in vertex-critical graphs
by: Skottova, Ema, et al.
Published: (2025)

A necessary and sufficient condition for bounds on the sum of a list of real numbers and its applications
by: Yang, Xiwu
Published: (2024)

Induced matching vs edge open packing: trees and product graphs
by: Bresar, Bostjan, et al.
Published: (2024)

The saturation number of $K^s_t$
by: Zhao, Xinghui, et al.
Published: (2026)

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)

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

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

Broadcast independence and packing in certain classes of trees
by: Brewster, Richard C., et al.
Published: (2024)

Identifying codes in triangle-free graphs of bounded maximum degree
by: Chakraborty, Dipayan, et al.
Published: (2024)

Resonance graphs that are daisy cubes: from hypercubes to independent sets via resonant sets
by: Brezovnik, Simon, et al.
Published: (2024)

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

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

Balanced Domination in Convex Polytopes, Trees, and Grid Graphs
by: Nikolic, Bojan, et al.
Published: (2025)

A Counterexample to a Conjecture of Lovász
by: Clow, Alexander, et al.
Published: (2025)

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

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

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

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

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

Relative Turán densities of ordered graphs
by: Reiher, Christian, et al.
Published: (2025)

Independent domination bondage number in graphs
by: Mehraban, M., et al.
Published: (2025)

Cliques in Squares of Graphs with Maximum Average Degree less than 4
by: Cranston, Daniel W., et al.
Published: (2023)

Tiling randomly perturbed multipartite graphs
by: Gomez-Leos, Enrique, et al.
Published: (2025)

Cyclic subsets in regular Dirac graphs
by: Draganić, Nemanja, et al.
Published: (2025)

Tiling randomly perturbed bipartite graphs
by: Gomez-Leos, Enrique, et al.
Published: (2024)

An Asymptotically Sharp Bound on the Maximum Number of Independent Transversals
by: Ruotolo, Jake, et al.
Published: (2022)

Stability of $2$-domination number of a graph
by: Mehraban, Mazharuddin, et al.
Published: (2025)

The maximum number of triangles in $K_{1,s,t}$-free graphs
by: Calbet, Asier, et al.
Published: (2025)

Monochromatic graph decompositions inspired by anti-Ramsey colorings
by: Caro, Yair, et al.
Published: (2024)