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

被引:0
作者
Rehman, Amir [1 ]
Pirzada, S. [1 ]
机构
[1] Univ Kashmir, Dept Math, Srinagar, India
关键词
adjacency matrix; spectral radius; forbidden subgraph; C (l )(1)-free graph; RADIUS;
D O I
10.1080/09728600.2024.2421212
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a graph of size m and rho(G) 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 C-l(1) be the graph obtained by adding a pendent vertex to a cycle of length l. In this paper, we determine the graphs with the maximum spectral radius over C-3(1) -free graphs, and C-4(1) -free graphs with m >= 9 .
引用
收藏
页码:91 / 93
页数:3
相关论文
共 50 条
  • [31] Graphs Satisfying a Richness Condition and One Concerning Forbidden Subgraphs
    Harzheim, Egbert
    RESULTS IN MATHEMATICS, 2010, 58 (3-4) : 285 - 296
  • [32] Pairs of forbidden subgraphs and 2-connected supereulerian graphs
    Cada, Roman
    Ozeki, Kenta
    Xiong, Liming
    Yoshimoto, Kiyoshi
    DISCRETE MATHEMATICS, 2018, 341 (06) : 1696 - 1707
  • [33] DEFICIENCY AND FORBIDDEN SUBGRAPHS OF CONNECTED, LOCALLY-CONNECTED GRAPHS
    Li, Xihe
    Wang, Ligong
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2020, 40 (01) : 195 - 208
  • [34] On forbidden subgraphs and rainbow connection in graphs with minimum degree 2
    Holub, Premysl
    Ryjacek, Zdenek
    Schiermeyer, Ingo
    DISCRETE MATHEMATICS, 2015, 338 (03) : 1 - 8
  • [35] A Turan-Type Problem on Distances in Graphs
    Tyomkyn, Mykhaylo
    Uzzell, Andrew J.
    GRAPHS AND COMBINATORICS, 2013, 29 (06) : 1927 - 1942
  • [36] Aa-SPECTRAL EXTREMA OF GRAPHS WITH GIVEN SIZE AND MATCHING NUMBER
    Lei, Xingyu
    Li, Shuchao
    Wang, Jianfeng
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (04) : 873 - 893
  • [37] On the spectral radius of graphs with a given domination number
    Stevanovic, Dragan
    Aouchiche, Mustapha
    Hansen, Pierre
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (8-9) : 1854 - 1864
  • [38] A sharp upper bound on the spectral radius of C5-free /C6-free graphs with given size
    Min, Gao
    Lou, Zhenzhen
    Huang, Qiongxiang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 640 : 162 - 178
  • [39] FORBIDDEN THETA GRAPH, BOUNDED SPECTRAL RADIUS AND SIZE OF NON-BIPARTITE GRAPHS
    Li, Shuchao
    Sun, Wanting
    Wei, Wei
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (05) : 959 - 986
  • [40] Complexity Framework for Forbidden Subgraphs IV: The Steiner Forest Problem
    Bodlaender, Hans L.
    Johnson, Matthew
    Martin, Barnaby
    Oostveen, Jelle J.
    Pandey, Sukanya
    Paulusma, Daniel
    Smith, Siani
    van Leeuwen, Erik Jan
    COMBINATORIAL ALGORITHMS, IWOCA 2024, 2024, 14764 : 206 - 217