On potentially -graphic sequences
Lili Hu; Chunhui Lai; Ping Wang
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 1, page 173-182
- ISSN: 0011-4642
Access Full Article
topAbstract
topHow to cite
topHu, Lili, Lai, Chunhui, and Wang, Ping. "On potentially $K_5-H$-graphic sequences." Czechoslovak Mathematical Journal 59.1 (2009): 173-182. <http://eudml.org/doc/37915>.
@article{Hu2009,
abstract = {Let $K_m-H$ be the graph obtained from $K_m$ by removing the edges set $E(H)$ of $H$ where $H$ is a subgraph of $K_m$. In this paper, we characterize the potentially $K_5-P_4$ and $K_5-Y_4$-graphic sequences where $Y_4$ is a tree on 5 vertices and 3 leaves.},
author = {Hu, Lili, Lai, Chunhui, Wang, Ping},
journal = {Czechoslovak Mathematical Journal},
keywords = {graph; degree sequence; potentially $K_5-H$-graphic sequence; graph; degree sequence; potentially -graphic sequence},
language = {eng},
number = {1},
pages = {173-182},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On potentially $K_5-H$-graphic sequences},
url = {http://eudml.org/doc/37915},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Hu, Lili
AU - Lai, Chunhui
AU - Wang, Ping
TI - On potentially $K_5-H$-graphic sequences
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 173
EP - 182
AB - Let $K_m-H$ be the graph obtained from $K_m$ by removing the edges set $E(H)$ of $H$ where $H$ is a subgraph of $K_m$. In this paper, we characterize the potentially $K_5-P_4$ and $K_5-Y_4$-graphic sequences where $Y_4$ is a tree on 5 vertices and 3 leaves.
LA - eng
KW - graph; degree sequence; potentially $K_5-H$-graphic sequence; graph; degree sequence; potentially -graphic sequence
UR - http://eudml.org/doc/37915
ER -
References
top- Bondy, J. A., Murty, U. S. R., Graph Theory with Applications, Macmillan Press (1976). (1976) MR0411988
- Erdös, P., Jacobson, M. S., Lehel, J., Graphs realizing the same degree sequences and their respective clique numbers, In: Graph Theory, Combinatorics and Application, Vol. 1 Y. Alavi et al. John Wiley and Sons New York (1991), 439-449. (1991) MR1170797
- Gould, R. J., Jacobson, M. S., Lehel, J., Potentially -graphic degree sequences, Combinatorics, Graph Theory and Algorithms, Vol. 2 Y. Alavi et al. New Issues Press Kalamazoo (1999), 451-460. (1999) MR1985076
- Gupta, G., Joshi, P., Tripathi, A., 10.1007/s10587-007-0042-z, Czech. Math. J. 57 (2007), 49-52. (2007) Zbl1174.05023MR2309947DOI10.1007/s10587-007-0042-z
- Ferrara, M., Schmitt, R. Gould,J., Potentially -graphic degree sequences, Submitted.
- Ferrara, M., Gould, R., Schmitt, J., Graphic sequences with a realization containing a friendship graph, Ars Comb Accepted.
- Hu, Lili, Lai, Chunhui, On potentially -graphic sequences, Ars Comb Accepted.
- Hu, Lili, Lai, Chunhui, On potentially -graphic sequences, Submitted.
- Kleitman, D. J., Wang, D. L., 10.1016/0012-365X(73)90037-X, Discrete Math. 6 (1973), 79-88. (1973) MR0327559DOI10.1016/0012-365X(73)90037-X
- Lai, Chunhui, A note on potentially graphical sequences, Australas J. Comb. 24 (2001), 123-127. (2001) Zbl0983.05025MR1852813
- Lai, Chunhui, An extremal problem on potentially -graphic sequences, Int. J. Pure Appl. Math Accepted.
- Lai, Chunhui, An extremal problem on potentially -graphic sequences, J. Comb. Math. Comb. Comput. 61 (2007), 59-63. (2007) Zbl1139.05016MR2322201
- Lai, Chunhui, An extremal problem on potentially -graphic sequences, Discret. Math. Theor. Comput. Sci. 7 (2005), 75-80. (2005) Zbl1153.05021MR2164060
- Lai, Chunhui, Hu, Lili, An extremal problem on potentially -graphic sequences, Ars Comb Accepted.
- Lai, Chunhui, The smallest degree sum that yields potentially -graphical sequences, Ars Comb Accepted.
- Li, Jiong-Sheng, Song, Zi-Xia, An extremal problem on the potentially -graphic sequences, In: Proc. International Symposium on Combinatorics and Applications, June 28-30, 1996 W. Y. C. Chen et. al. Nankai University Tianjin (1996), 269-276. (1996)
- Li, Jiong-Sheng, Song, Zi-Xia, 10.1002/(SICI)1097-0118(199810)29:2<63::AID-JGT2>3.0.CO;2-A, J. Graph Theory 29 (1998), 63-72. (1998) Zbl0919.05058MR1644418DOI10.1002/(SICI)1097-0118(199810)29:2<63::AID-JGT2>3.0.CO;2-A
- Li, Jiong-sheng, Song, Zi-Xia, Luo, Rong, 10.1007/BF02879940, Sci. China (Ser. A) 41 (1998), 510-520. (1998) MR1663175DOI10.1007/BF02879940
- Li, Jiong-sheng, Yin, Jianhua, 10.1007/s100120100006, Southeast Asian Bull. Math. 25 (2001), 427-434. (2001) MR1933948DOI10.1007/s100120100006
- Luo, R., On potentially -graphic sequences, Ars Comb. 64 (2002), 301-318. (2002) MR1914218
- Luo, R., Warner, M., On potentially -graphic sequences, Ars Combin. 75 (2005), 233-239. (2005) Zbl1075.05021MR2133225
- Eschen, E. M., Niu, J., On potentially -graphic sequences, Australas J. Comb. 29 (2004), 59-65. (2004) Zbl1049.05027MR2037333
- Yin, J.-H., Li, J. S., 10.1016/j.disc.2005.03.028, Discrete Math. 301 (2005), 218-227. (2005) Zbl1119.05025MR2171314DOI10.1016/j.disc.2005.03.028
- Yin, J.-H., Li, J.-S., Mao, R., An extremal problem on the potentially -graphic sequences, Ars Comb. 74 (2005), 151-159. (2005) MR2118998
- Yin, J.-H., Chen, G., On potentially -graphic sequences, Util. Math. 72 (2007), 149-161. (2007) MR2306237
- Yin, M., 10.1007/s10255-006-0321-8, Acta Math. Appl. Sin., Engl. Ser. 22 (2006), 451-456. (2006) Zbl1106.05031MR2229587DOI10.1007/s10255-006-0321-8
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.