지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The first and second Zagreb indices of a graph $G$ are defined as $M_1(G)=\sum_{v\in V} d_G(v)^2$ and $M_2(G)=\sum_{uv\in E(G)}d_G(u)\,d_G(v)\,,$ where $d_G(v)$ is the degree of the vertex $v$. $G$ is called a $k$-apex tree if $k$ is the smallest integer for which there exists a subset $X$ of $V(G)$ such that $|X|=k$ and $G-X$ is a tree. In this paper, we determine the maximum Zagreb indices in the class of all $k$-apex trees of order $n$ and characterize the corresponding extremal graphs.
목차
등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
B. Borovicanin / 2015 / On the maximum and minimum Zagreb in-dices of trees with a given number of vertices of maximum degree / MATCH Commun. Math. Comput. Chem 74 : 81 ~ 96
B. Furtula / 2014 / On difference of Zagreb indices / Discrete Appl. Math 178 : 83 ~ 88
B. Horoldagva / 2010 / Comparing Zagreb indices for connected graphs / Discrete Appl. Math 158 : 1073 ~ 1078
B. Horoldagva / 2012 / On comparing Zagreb indices of graphs / Hacet. J. Math. Stat 41 : 223 ~ 230
B. Horoldagva / 2015 / Sharp lower bounds for the Zagreb indices of uni-cyclic graphs / Turk. J. Math 39 : 595 ~ 603
B. Furtula / 2014 / On difference of Zagreb indices / Discrete Appl. Math 178 : 83 ~ 88
B. Horoldagva / 2010 / Comparing Zagreb indices for connected graphs / Discrete Appl. Math 158 : 1073 ~ 1078
B. Horoldagva / 2012 / On comparing Zagreb indices of graphs / Hacet. J. Math. Stat 41 : 223 ~ 230
B. Horoldagva / 2015 / Sharp lower bounds for the Zagreb indices of uni-cyclic graphs / Turk. J. Math 39 : 595 ~ 603
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
EXTREMAL CHEMICAL TREES WITH RESPECT TO HYPER-ZAGREB INDEX
순수 및 응용수학
2019 .01
-
Bounds for the First Zagreb Eccentricity Index and First Zagreb Degree Eccentricity Index
Kyungpook Mathematical Journal
2018 .01
-
Inverse problem for the first entire Zagreb index
Advanced Studies in Contemporary Mathematics
2019 .01
-
REMARKS ON THE INNER POWER OF GRAPHS
Journal of applied mathematics & informatics
2017 .01
-
On −domination Zagreb indices of graphs and some graph operations
Proceedings of the Jangjeon Mathematical Society
2023 .04
-
Entire Zagreb index of vertex and edge F-join of graphs
Proceedings of the Jangjeon Mathematical Society
2020 .01
-
BOUNDS ON THE HYPER-ZAGREB INDEX
Journal of applied mathematics & informatics
2016 .01
-
THE ZAGREB INDICES OF BIPARTITE GRAPHS WITH MORE EDGES
Journal of applied mathematics & informatics
2015 .01
-
TOPOLOGICAL PROPERTIES OF GRAPHENE USING ψk- POLYNOMIAL
Proceedings of the Jangjeon Mathematical Society
2021 .07
-
PARTITIONS AND LABELED TREES
Proceedings of the Jangjeon Mathematical Society
2021 .04
-
A link between ordered trees and Green-Red trees
대한수학회지
2016 .01
-
TOSHA INDEX FOR GRAPHS
Proceedings of the Jangjeon Mathematical Society
2021 .01
-
On {$[1, 2]$}-domination in trees
대한수학회논문집
2018 .01
-
A review of tree-based Bayesian methods
CSAM(Communications for Statistical Applications and Methods)
2017 .11
-
FORGOTTEN INDEX OF GRAPHS WITH DELETED EDGES
Advanced Studies in Contemporary Mathematics
2021 .10
-
나무의사 제도 법제화에 따른 식물병리학회의 역할
Research in Plant Disease(식물병연구)
2017 .09
-
SENTINEL-2 위성영상을 이용한 조림 특성 조사: 세미양오름를 통한 사례 연구
한국환경과학회지
2022 .09
-
Cross-index of a Graph
Kyungpook Mathematical Journal
2019 .01
-
MULTIPLICATIVELY WEIGHTED HARARY INDICES OF GRAPH OPERATIONS
Journal of applied mathematics & informatics
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0