지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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The minimum rank $\mr(G)$ of a simple graph $G$ is defined to be the smallest possible rank over all symmetric real matrices whose $(i,j)$-th entry (for $i\neq j$) is nonzero whenever $\{i,j\}$ is an edge in $G$ and is zero otherwise. The corona $C_n\circ K_t$ is obtained by joining all the vertices of the complete graph $K_t$ to each $n$ vertex of the cycle $C_n$. For any $t$, we obtain an upper bound of zero forcing number of $L(C_n\circ K_t)$, the line graph of $C_n\circ K_t$, and get some bounds of $\mr(L(C_n\circ K_t))$. Specially for $t=1,2$, we have calculated $\mr(L(C_n\circ K_t))$ by the cut-vertex reduction method.
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참고문헌 (6)
참고문헌 신청
AIM Minimum Rank-Special Graphs Work Group / 2008 / Zero forcing sets and the minimum rank of graphs / Linear Algebra Appl 428 (7) : 1628 ~ 1648
E. Almodovar / 2010 / Minimum rank, maximum nullity and zero forcing number for selected graph families / Involve 3 (4) : 371 ~ 392
F. Barioli / 2004 / Computation of minimal rank and path cover number for certain graphs / Linear Algebra Appl 392 : 289 ~ 303
L. Y. Hsieh / 2001 / On minimum rank matrices having prescribed graph / 박사 / Univer-sity of Wisconsin-Madison
P. M. Nylen / 1996 / Minimum-rank matrices with prescribed graph / Linear Algebra Appl 248 : 303 ~ 316
E. Almodovar / 2010 / Minimum rank, maximum nullity and zero forcing number for selected graph families / Involve 3 (4) : 371 ~ 392
F. Barioli / 2004 / Computation of minimal rank and path cover number for certain graphs / Linear Algebra Appl 392 : 289 ~ 303
L. Y. Hsieh / 2001 / On minimum rank matrices having prescribed graph / 박사 / Univer-sity of Wisconsin-Madison
P. M. Nylen / 1996 / Minimum-rank matrices with prescribed graph / Linear Algebra Appl 248 : 303 ~ 316
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